What is the Least Common Multiple of 60675 and 60689?

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 60675 and 60689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60675 and 60689, than apply into the LCM equation.

GCF(60675,60689) = 1
LCM(60675,60689) = ( 60675 × 60689) / 1
LCM(60675,60689) = 3682305075 / 1
LCM(60675,60689) = 3682305075

Least Common Multiple (LCM) of 60675 and 60689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60675 and 60689. First we will calculate the prime factors of 60675 and 60689.

Prime Factorization of 60675

Prime Factorization of 60689

Now multiplying the highest exponent prime factors to calculate the LCM of 60675 and 60689.

LCM(60675,60689) = 3¹ × 5² × 809¹ × 60689¹
LCM(60675,60689) = 3682305075