What is the Least Common Multiple of 58989 and 58998?

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 58989 and 58998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58989 and 58998, than apply into the LCM equation.

GCF(58989,58998) = 3
LCM(58989,58998) = ( 58989 × 58998) / 3
LCM(58989,58998) = 3480233022 / 3
LCM(58989,58998) = 1160077674

Least Common Multiple (LCM) of 58989 and 58998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58989 and 58998. First we will calculate the prime factors of 58989 and 58998.

Prime Factorization of 58989

Prime Factorization of 58998

Now multiplying the highest exponent prime factors to calculate the LCM of 58989 and 58998.

LCM(58989,58998) = 3¹ × 7¹ × 53² × 2¹ × 9833¹
LCM(58989,58998) = 1160077674