HowManyNumbers Logo

Least Common Multiple (LCM) of 69 and 152

The least common multiple (LCM) of 69 and 152 is 10488.

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 69 and 152?

First, calculate the GCD of 69 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 152 = 0 remainder 69
2 152 ÷ 69 = 2 remainder 14
3 69 ÷ 14 = 4 remainder 13
4 14 ÷ 13 = 1 remainder 1
5 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 451665
114 and 321824
107 and 10611342
165 and 315115
178 and 544806

Try Calculating LCM of Other Numbers







Related Calculators