What is the Least Common Multiple of 94536 and 94547?

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 94547 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 94547, than apply into the LCM equation.

GCF(94536,94547) = 1
LCM(94536,94547) = ( 94536 × 94547) / 1
LCM(94536,94547) = 8938095192 / 1
LCM(94536,94547) = 8938095192

Least Common Multiple (LCM) of 94536 and 94547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94536 and 94547. First we will calculate the prime factors of 94536 and 94547.

Prime Factorization of 94536

Prime Factorization of 94547

Now multiplying the highest exponent prime factors to calculate the LCM of 94536 and 94547.

LCM(94536,94547) = 2³ × 3² × 13¹ × 101¹ × 94547¹
LCM(94536,94547) = 8938095192