HowManyNumbers Logo

Least Common Multiple (LCM) of 52 and 175

The least common multiple (LCM) of 52 and 175 is 9100.

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 52 and 175?

First, calculate the GCD of 52 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 175 = 0 remainder 52
2 175 ÷ 52 = 3 remainder 19
3 52 ÷ 19 = 2 remainder 14
4 19 ÷ 14 = 1 remainder 5
5 14 ÷ 5 = 2 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 351890
42 and 1284
174 and 962784
97 and 626014
38 and 40760

Try Calculating LCM of Other Numbers







Related Calculators