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Least Common Multiple (LCM) of 36 and 58

The least common multiple (LCM) of 36 and 58 is 1044.

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 36 and 58?

First, calculate the GCD of 36 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 58 = 0 remainder 36
2 58 ÷ 36 = 1 remainder 22
3 36 ÷ 22 = 1 remainder 14
4 22 ÷ 14 = 1 remainder 8
5 14 ÷ 8 = 1 remainder 6
6 8 ÷ 6 = 1 remainder 2
7 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
40 and 1983960
143 and 365148
152 and 1202280
44 and 55220
92 and 676164

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