HowManyNumbers Logo

Least Common Multiple (LCM) of 56 and 196

The least common multiple (LCM) of 56 and 196 is 392.

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 56 and 196?

First, calculate the GCD of 56 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 196 = 0 remainder 56
2 196 ÷ 56 = 3 remainder 28
3 56 ÷ 28 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 77924
148 and 15411396
141 and 783666
66 and 1052310
150 and 1417050

Try Calculating LCM of Other Numbers







Related Calculators