What is the Least Common Multiple of 7460 and 7475?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 7460 and 7475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7460 and 7475, than apply into the LCM equation.

GCF(7460,7475) = 5
LCM(7460,7475) = ( 7460 × 7475) / 5
LCM(7460,7475) = 55763500 / 5
LCM(7460,7475) = 11152700

Least Common Multiple (LCM) of 7460 and 7475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7460 and 7475. First we will calculate the prime factors of 7460 and 7475.

Prime Factorization of 7460

Prime Factorization of 7475

Now multiplying the highest exponent prime factors to calculate the LCM of 7460 and 7475.

LCM(7460,7475) = 2² × 5² × 373¹ × 13¹ × 23¹
LCM(7460,7475) = 11152700