LCM for 72 and 254

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What's the Least Common Multiple (LCM) of 72 and 254?

Answer

LCM of 72 and 254 is
9,144

(Nine thousand one hundred forty-four)

Finding LCM for 72 and 254 using GCF of these numbers

The first method to find LCM for numbers 72 and 254 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 254 is 2, so

LCM = (72 × 254) ÷ 2

LCM = 18,288 ÷ 2

LCM = 9,144

Finding LCM for 72 and 254 by Listing Multiples

The second method to find LCM for numbers 72 and 254 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1,008, 1,080, 1,152, 1,224, 1,296, 1,368, 1,440, 1,512, 1,584, 1,656, 1,728, 1,800, 1,872, 1,944, 2,016, 2,088, 2,160, 2,232, 2,304, 2,376, 2,448, 2,520, 2,592, 2,664, 2,736, 2,808, 2,880, 2,952, 3,024, 3,096, 3,168, 3,240, 3,312, 3,384, 3,456, 3,528, 3,600, 3,672, 3,744, 3,816, 3,888, 3,960, 4,032, 4,104, 4,176, 4,248, 4,320, 4,392, 4,464, 4,536, 4,608, 4,680, 4,752, 4,824, 4,896, 4,968, 5,040, 5,112, 5,184, 5,256, 5,328, 5,400, 5,472, 5,544, 5,616, 5,688, 5,760, 5,832, 5,904, 5,976, 6,048, 6,120, 6,192, 6,264, 6,336, 6,408, 6,480, 6,552, 6,624, 6,696, 6,768, 6,840, 6,912, 6,984, 7,056, 7,128, 7,200, 7,272, 7,344, 7,416, 7,488, 7,560, 7,632, 7,704, 7,776, 7,848, 7,920, 7,992, 8,064, 8,136, 8,208, 8,280, 8,352, 8,424, 8,496, 8,568, 8,640, 8,712, 8,784, 8,856, 8,928, 9,000, 9,072, 9,144, 9,216, 9,288

Multiples of 254: 254, 508, 762, 1,016, 1,270, 1,524, 1,778, 2,032, 2,286, 2,540, 2,794, 3,048, 3,302, 3,556, 3,810, 4,064, 4,318, 4,572, 4,826, 5,080, 5,334, 5,588, 5,842, 6,096, 6,350, 6,604, 6,858, 7,112, 7,366, 7,620, 7,874, 8,128, 8,382, 8,636, 8,890, 9,144, 9,398, 9,652

So the LCM for 72 and 254 is 9,144

Finding LCM for 72 and 254 by Prime Factorization

Another method to find LCM for numbers 72 and 254 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

All Prime Factors of 254: 2, 127 (exponent form: 21, 1271)

23 × 32 × 1271 = 9,144

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 72 and 254? (The answer is: 9,144). Select the first number (e.g. '72') and the second number (e.g. '254'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
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LCM Table

Number 1Number 2LCM
7223917,208
72240720
7224117,352
722428,712
722431,944
722444,392
7224517,640
722462,952
7224717,784
722482,232
722495,976
722509,000
7225118,072
72252504
7225318,216
722549,144
722556,120
722562,304
7225718,504
722583,096
7225918,648
722604,680
722612,088
722629,432
7226318,936
72264792
7226519,080
722669,576
722676,408
722684,824

FAQ

What's the Least Common Multiple (LCM) of 72 and 254?

LCM of 72 and 254 is 9,144

How to find the LCM of 72 and 254 using prime factorization?

To find the LCM of 72 and 254, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 9,144.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 72 and 254: LCM = 9,144, GCF = 2.

See Also