What is the Least Common Multiple of 58974 and 58984?

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 58974 and 58984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58974 and 58984, than apply into the LCM equation.

GCF(58974,58984) = 2
LCM(58974,58984) = ( 58974 × 58984) / 2
LCM(58974,58984) = 3478522416 / 2
LCM(58974,58984) = 1739261208

Least Common Multiple (LCM) of 58974 and 58984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58974 and 58984. First we will calculate the prime factors of 58974 and 58984.

Prime Factorization of 58974

Prime Factorization of 58984

Now multiplying the highest exponent prime factors to calculate the LCM of 58974 and 58984.

LCM(58974,58984) = 2³ × 3¹ × 9829¹ × 73¹ × 101¹
LCM(58974,58984) = 1739261208