What is the Least Common Multiple of 58975 and 58989?

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 58975 and 58989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58975 and 58989, than apply into the LCM equation.

GCF(58975,58989) = 7
LCM(58975,58989) = ( 58975 × 58989) / 7
LCM(58975,58989) = 3478876275 / 7
LCM(58975,58989) = 496982325

Least Common Multiple (LCM) of 58975 and 58989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58975 and 58989. First we will calculate the prime factors of 58975 and 58989.

Prime Factorization of 58975

Prime Factorization of 58989

Now multiplying the highest exponent prime factors to calculate the LCM of 58975 and 58989.

LCM(58975,58989) = 5² × 7¹ × 337¹ × 3¹ × 53²
LCM(58975,58989) = 496982325