What is the Least Common Multiple of 94536 and 94549?

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 94536 and 94549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94536 and 94549, than apply into the LCM equation.

GCF(94536,94549) = 13
LCM(94536,94549) = ( 94536 × 94549) / 13
LCM(94536,94549) = 8938284264 / 13
LCM(94536,94549) = 687560328

Least Common Multiple (LCM) of 94536 and 94549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94536 and 94549. First we will calculate the prime factors of 94536 and 94549.

Prime Factorization of 94536

Prime Factorization of 94549

Now multiplying the highest exponent prime factors to calculate the LCM of 94536 and 94549.

LCM(94536,94549) = 2³ × 3² × 13¹ × 101¹ × 7¹ × 1039¹
LCM(94536,94549) = 687560328