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Least Common Multiple (LCM) of 16 and 74

The least common multiple (LCM) of 16 and 74 is 592.

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 16 and 74?

First, calculate the GCD of 16 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 74 = 0 remainder 16
2 74 ÷ 16 = 4 remainder 10
3 16 ÷ 10 = 1 remainder 6
4 10 ÷ 6 = 1 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 1561092
152 and 843192
12 and 69276
147 and 1748526
198 and 525148

Try Calculating LCM of Other Numbers







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