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Least Common Multiple (LCM) of 36 and 175

The least common multiple (LCM) of 36 and 175 is 6300.

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 36 and 175?

First, calculate the GCD of 36 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 175 = 0 remainder 36
2 175 ÷ 36 = 4 remainder 31
3 36 ÷ 31 = 1 remainder 5
4 31 ÷ 5 = 6 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
93 and 14213206
26 and 60780
183 and 13925437
149 and 17626224
172 and 14925628

Try Calculating LCM of Other Numbers







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