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Least Common Multiple (LCM) of 52 and 148

The least common multiple (LCM) of 52 and 148 is 1924.

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 52 and 148?

First, calculate the GCD of 52 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 148 = 0 remainder 52
2 148 ÷ 52 = 2 remainder 44
3 52 ÷ 44 = 1 remainder 8
4 44 ÷ 8 = 5 remainder 4
5 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
166 and 10517430
32 and 1173744
53 and 934929
85 and 1652805
103 and 747622

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