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Least Common Multiple (LCM) of 21 and 35

The least common multiple (LCM) of 21 and 35 is 105.

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 35?

First, calculate the GCD of 21 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 35 = 0 remainder 21
2 35 ÷ 21 = 1 remainder 14
3 21 ÷ 14 = 1 remainder 7
4 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 17227692
102 and 804080
76 and 493724
96 and 521248
47 and 13611

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