HowManyNumbers Logo

Least Common Multiple (LCM) of 69 and 155

The least common multiple (LCM) of 69 and 155 is 10695.

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 155?

First, calculate the GCD of 69 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 155 = 0 remainder 69
2 155 ÷ 69 = 2 remainder 17
3 69 ÷ 17 = 4 remainder 1
4 17 ÷ 1 = 17 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 876090
107 and 576099
140 and 1654620
128 and 16610624
17 and 119119

Try Calculating LCM of Other Numbers







Related Calculators