HowManyNumbers Logo

Least Common Multiple (LCM) of 169 and 55

The least common multiple (LCM) of 169 and 55 is 9295.

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 169 and 55?

First, calculate the GCD of 169 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 169 ÷ 55 = 3 remainder 4
2 55 ÷ 4 = 13 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 17224252
154 and 544158
126 and 1022142
44 and 371628
141 and 14921009

Try Calculating LCM of Other Numbers







Related Calculators