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Least Common Multiple (LCM) of 147 and 105

The least common multiple (LCM) of 147 and 105 is 735.

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 147 and 105?

First, calculate the GCD of 147 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 105 = 1 remainder 42
2 105 ÷ 42 = 2 remainder 21
3 42 ÷ 21 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 120840
31 and 391209
192 and 192192
193 and 193667
200 and 1455800

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