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Least Common Multiple (LCM) of 114 and 148

The least common multiple (LCM) of 114 and 148 is 8436.

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 114 and 148?

First, calculate the GCD of 114 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 148 = 0 remainder 114
2 148 ÷ 114 = 1 remainder 34
3 114 ÷ 34 = 3 remainder 12
4 34 ÷ 12 = 2 remainder 10
5 12 ÷ 10 = 1 remainder 2
6 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 315549
126 and 945922
153 and 721224
63 and 2163
24 and 51408

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