HowManyNumbers Logo

Least Common Multiple (LCM) of 21 and 49

The least common multiple (LCM) of 21 and 49 is 147.

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 21 and 49?

First, calculate the GCD of 21 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 49 = 0 remainder 21
2 49 ÷ 21 = 2 remainder 7
3 21 ÷ 7 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 17819402
170 and 1956630
135 and 8611610
15 and 100300
153 and 964896

Try Calculating LCM of Other Numbers







Related Calculators