HowManyNumbers Logo

Least Common Multiple (LCM) of 107 and 152

The least common multiple (LCM) of 107 and 152 is 16264.

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 107 and 152?

First, calculate the GCD of 107 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 152 = 0 remainder 107
2 152 ÷ 107 = 1 remainder 45
3 107 ÷ 45 = 2 remainder 17
4 45 ÷ 17 = 2 remainder 11
5 17 ÷ 11 = 1 remainder 6
6 11 ÷ 6 = 1 remainder 5
7 6 ÷ 5 = 1 remainder 1
8 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
182 and 18734034
30 and 22330
124 and 9912276
77 and 15712089
134 and 10914606

Try Calculating LCM of Other Numbers







Related Calculators