What is the Least Common Multiple of 60460 and 60475?

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 60460 and 60475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60460 and 60475, than apply into the LCM equation.

GCF(60460,60475) = 5
LCM(60460,60475) = ( 60460 × 60475) / 5
LCM(60460,60475) = 3656318500 / 5
LCM(60460,60475) = 731263700

Least Common Multiple (LCM) of 60460 and 60475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60460 and 60475. First we will calculate the prime factors of 60460 and 60475.

Prime Factorization of 60460

Prime Factorization of 60475

Now multiplying the highest exponent prime factors to calculate the LCM of 60460 and 60475.

LCM(60460,60475) = 2² × 5² × 3023¹ × 41¹ × 59¹
LCM(60460,60475) = 731263700