What is the Least Common Multiple of 12460 and 12475?

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 12460 and 12475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12460 and 12475, than apply into the LCM equation.

GCF(12460,12475) = 5
LCM(12460,12475) = ( 12460 × 12475) / 5
LCM(12460,12475) = 155438500 / 5
LCM(12460,12475) = 31087700

Least Common Multiple (LCM) of 12460 and 12475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12460 and 12475. First we will calculate the prime factors of 12460 and 12475.

Prime Factorization of 12460

Prime Factorization of 12475

Now multiplying the highest exponent prime factors to calculate the LCM of 12460 and 12475.

LCM(12460,12475) = 2² × 5² × 7¹ × 89¹ × 499¹
LCM(12460,12475) = 31087700