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Least Common Multiple (LCM) of 148 and 36

The least common multiple (LCM) of 148 and 36 is 1332.

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 148 and 36?

First, calculate the GCD of 148 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 148 ÷ 36 = 4 remainder 4
2 36 ÷ 4 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 1342144
116 and 802320
62 and 332046
107 and 212247
91 and 14413104

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