LCM for 72 and 34

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What's the Least Common Multiple (LCM) of 72 and 34?

Answer

LCM of 72 and 34 is
1,224

(One thousand two hundred twenty-four)

Finding LCM for 72 and 34 using GCF of these numbers

The first method to find LCM for numbers 72 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 34 is 2, so

LCM = (72 × 34) ÷ 2

LCM = 2,448 ÷ 2

LCM = 1,224

Finding LCM for 72 and 34 by Listing Multiples

The second method to find LCM for numbers 72 and 34 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, 1008, 1080, 1152, 1224, 1296, 1368

Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088, 1122, 1156, 1190, 1224, 1258, 1292

So the LCM for 72 and 34 is 1,224

Finding LCM for 72 and 34 by Prime Factorization

Another method to find LCM for numbers 72 and 34 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 34: 2, 17 (exponent form: 21, 171)

23 × 32 × 171 = 1,224

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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 34? (The answer is: 1,224). Select the first number (e.g. '72') and the second number (e.g. '34'). 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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
72191,368
7220360
7221504
7222792
72231,656
722472
72251,800
7226936
7227216
7228504
72292,088
7230360
72312,232
7232288
7233792
72341,224
72352,520
723672
72372,664
72381,368
7239936
7240360
72412,952
7242504
72433,096
7244792
7245360
72461,656
72473,384
7248144

FAQ

What's the Least Common Multiple (LCM) of 72 and 34?

LCM of 72 and 34 is 1,224

How to find the LCM of 72 and 34 using prime factorization?

To find the LCM of 72 and 34, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,224.

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 34: LCM = 1,224, GCF = 2.

See Also