HowManyNumbers Logo

Least Common Multiple (LCM) of 17 and 155

The least common multiple (LCM) of 17 and 155 is 2635.

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 17 and 155?

First, calculate the GCD of 17 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 155 = 0 remainder 17
2 155 ÷ 17 = 9 remainder 2
3 17 ÷ 2 = 8 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 1727224
188 and 12564
69 and 14610074
108 and 1921728
80 and 231840

Try Calculating LCM of Other Numbers







Related Calculators