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Least Common Multiple (LCM) of 148 and 105

The least common multiple (LCM) of 148 and 105 is 15540.

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 105?

First, calculate the GCD of 148 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 148 ÷ 105 = 1 remainder 43
2 105 ÷ 43 = 2 remainder 19
3 43 ÷ 19 = 2 remainder 5
4 19 ÷ 5 = 3 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 19520865
25 and 1634075
21 and 1771239
170 and 8314110
176 and 18532560

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