LCM for 104 and 156

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What's the Least Common Multiple (LCM) of 104 and 156?

Answer

LCM of 104 and 156 is
312

(Three hundred twelve)

Finding LCM for 104 and 156 using GCF of these numbers

The first method to find LCM for numbers 104 and 156 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 104 and 156 is 52, so

LCM = (104 × 156) ÷ 52

LCM = 16,224 ÷ 52

LCM = 312

Finding LCM for 104 and 156 by Listing Multiples

The second method to find LCM for numbers 104 and 156 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 104: 104, 208, 312, 416, 520

Multiples of 156: 156, 312, 468, 624

So the LCM for 104 and 156 is 312

Finding LCM for 104 and 156 by Prime Factorization

Another method to find LCM for numbers 104 and 156 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 104: 2, 2, 2, 13 (exponent form: 23, 131)

All Prime Factors of 156: 2, 2, 3, 13 (exponent form: 22, 31, 131)

23 × 131 × 31 = 312

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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 104 and 156? (The answer is: 312). Select the first number (e.g. '104') and the second number (e.g. '156'). 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
10414114,664
1041427,384
1041431,144
1041441,872
10414515,080
1041467,592
10414715,288
1041483,848
10414915,496
1041507,800
10415115,704
1041521,976
10415315,912
1041548,008
10415516,120
104156312
10415716,328
1041588,216
10415916,536
1041602,080
10416116,744
1041628,424
10416316,952
1041644,264
10416517,160
1041668,632
10416717,368
1041682,184
1041691,352
1041708,840

FAQ

What's the Least Common Multiple (LCM) of 104 and 156?

LCM of 104 and 156 is 312

How to find the LCM of 104 and 156 using prime factorization?

To find the LCM of 104 and 156, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 312.

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 104 and 156: LCM = 312, GCF = 52.

See Also