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Least Common Multiple (LCM) of 38 and 35

The least common multiple (LCM) of 38 and 35 is 1330.

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 38 and 35?

First, calculate the GCD of 38 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 35 = 1 remainder 3
2 35 ÷ 3 = 11 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 1054305
27 and 912457
174 and 19133234
107 and 121284
161 and 7812558

Try Calculating LCM of Other Numbers







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