What is the Least Common Multiple of 60975 and 60989?

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 60975 and 60989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60975 and 60989, than apply into the LCM equation.

GCF(60975,60989) = 1
LCM(60975,60989) = ( 60975 × 60989) / 1
LCM(60975,60989) = 3718804275 / 1
LCM(60975,60989) = 3718804275

Least Common Multiple (LCM) of 60975 and 60989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60975 and 60989. First we will calculate the prime factors of 60975 and 60989.

Prime Factorization of 60975

Prime Factorization of 60989

Now multiplying the highest exponent prime factors to calculate the LCM of 60975 and 60989.

LCM(60975,60989) = 3² × 5² × 271¹ × 71¹ × 859¹
LCM(60975,60989) = 3718804275