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Least Common Multiple (LCM) of 29 and 148

The least common multiple (LCM) of 29 and 148 is 4292.

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 29 and 148?

First, calculate the GCD of 29 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 29 ÷ 148 = 0 remainder 29
2 148 ÷ 29 = 5 remainder 3
3 29 ÷ 3 = 9 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 936789
42 and 1523192
175 and 50350
198 and 19619404
97 and 626014

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