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Least Common Multiple (LCM) of 55 and 74

The least common multiple (LCM) of 55 and 74 is 4070.

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 55 and 74?

First, calculate the GCD of 55 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 74 = 0 remainder 55
2 74 ÷ 55 = 1 remainder 19
3 55 ÷ 19 = 2 remainder 17
4 19 ÷ 17 = 1 remainder 2
5 17 ÷ 2 = 8 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 9919404
66 and 17511550
119 and 16719873
163 and 17228036
19 and 541026

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