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Least Common Multiple (LCM) of 21 and 77

The least common multiple (LCM) of 21 and 77 is 231.

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 77?

First, calculate the GCD of 21 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 21 ÷ 77 = 0 remainder 21
2 77 ÷ 21 = 3 remainder 14
3 21 ÷ 14 = 1 remainder 7
4 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 1004900
200 and 882200
200 and 8717400
78 and 15512090
145 and 58290

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