HowManyNumbers Logo

Least Common Multiple (LCM) of 137 and 52

The least common multiple (LCM) of 137 and 52 is 7124.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 137 and 52?

First, calculate the GCD of 137 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 52 = 2 remainder 33
2 52 ÷ 33 = 1 remainder 19
3 33 ÷ 19 = 1 remainder 14
4 19 ÷ 14 = 1 remainder 5
5 14 ÷ 5 = 2 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 24456
55 and 532915
85 and 867310
119 and 9311067
159 and 12820352

Try Calculating LCM of Other Numbers







Related Calculators