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Least Common Multiple (LCM) of 148 and 52

The least common multiple (LCM) of 148 and 52 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 148 and 52?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
131 and 638253
153 and 599027
13 and 130130
184 and 14727048
86 and 1305590

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