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Least Common Multiple (LCM) of 54 and 74

The least common multiple (LCM) of 54 and 74 is 1998.

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 54 and 74?

First, calculate the GCD of 54 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 74 = 0 remainder 54
2 74 ÷ 54 = 1 remainder 20
3 54 ÷ 20 = 2 remainder 14
4 20 ÷ 14 = 1 remainder 6
5 14 ÷ 6 = 2 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 689860
195 and 1455655
154 and 56616
56 and 1578792
12 and 1672004

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