HowManyNumbers Logo

Least Common Multiple (LCM) of 155 and 196

The least common multiple (LCM) of 155 and 196 is 30380.

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 155 and 196?

First, calculate the GCD of 155 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 196 = 0 remainder 155
2 196 ÷ 155 = 1 remainder 41
3 155 ÷ 41 = 3 remainder 32
4 41 ÷ 32 = 1 remainder 9
5 32 ÷ 9 = 3 remainder 5
6 9 ÷ 5 = 1 remainder 4
7 5 ÷ 4 = 1 remainder 1
8 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 64448
76 and 1118436
42 and 1231722
170 and 25850
150 and 866450

Try Calculating LCM of Other Numbers







Related Calculators