HowManyNumbers Logo

Least Common Multiple (LCM) of 28 and 175

The least common multiple (LCM) of 28 and 175 is 700.

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 28 and 175?

First, calculate the GCD of 28 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 175 = 0 remainder 28
2 175 ÷ 28 = 6 remainder 7
3 28 ÷ 7 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 1475880
197 and 9618912
192 and 13726304
83 and 12210126
112 and 1146384

Try Calculating LCM of Other Numbers







Related Calculators