What is the Least Common Multiple of 99042 and 99059?

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 99042 and 99059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99042 and 99059, than apply into the LCM equation.

GCF(99042,99059) = 17
LCM(99042,99059) = ( 99042 × 99059) / 17
LCM(99042,99059) = 9811001478 / 17
LCM(99042,99059) = 577117734

Least Common Multiple (LCM) of 99042 and 99059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99042 and 99059. First we will calculate the prime factors of 99042 and 99059.

Prime Factorization of 99042

Prime Factorization of 99059

Now multiplying the highest exponent prime factors to calculate the LCM of 99042 and 99059.

LCM(99042,99059) = 2¹ × 3¹ × 17¹ × 971¹ × 5827¹
LCM(99042,99059) = 577117734