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Least Common Multiple (LCM) of 101 and 48

The least common multiple (LCM) of 101 and 48 is 4848.

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 101 and 48?

First, calculate the GCD of 101 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 48 = 2 remainder 5
2 48 ÷ 5 = 9 remainder 3
3 5 ÷ 3 = 1 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 413854
180 and 17816020
49 and 1999751
172 and 763268
27 and 171513

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