LCM for 156 and 364

What's the Least Common Multiple (LCM) of 156 and 364?

Answer: LCM of 156 and 364 is 1,092

(One thousand, ninety-two)

Finding LCM for 156 and 364 using GCF's of these numbers

The first method to find LCM for numbers 156 and 364 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 156 and 364 is 52, so

LCM = (156 × 364) ÷ 52

LCM = 56784 ÷ 52

LCM = 1092

Finding LCM for 156 and 364 by Listing Multiples

The second method to find LCM for numbers 156 and 364 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 156: 156, 312, 468, 624, 780, 936, 1092, 1248, 1404

Multiples of 364: 364, 728, 1092, 1456, 1820

So the LCM for 156 and 364 is 1092

Finding LCM for 156 and 364 by Prime Factorization

Another method to find LCM for numbers 156 and 364 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 364: 2, 2, 7, 13 (exponent form: 22, 71, 131)

22 × 31 × 131 × 71 = 1092

Related Calculations

See Also

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 156 and 364? (The answer is: 1092). Select the first number (e.g. '156') and the second number (e.g. '364'). 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

LCM Table

Number 1Number 2LCM
14136451324
14236425844
1433644004
14436413104
14536452780
14636426572
1473647644
14836413468
14936454236
15036427300
15136454964
15236413832
15336455692
1543644004
15536456420
156364
15736457148
15836428756
15936457876
16036414560
1613648372
16236429484
16336459332
16436414924
16536460060
16636430212
16736460788
1683642184
1693644732
17036430940

FAQ

What's the Least Common Multiple (LCM) of 156 and 364?

LCM of 156 and 364 is 1,092