What is the Least Common Multiple of 94710 and 94720?

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 94710 and 94720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94710 and 94720, than apply into the LCM equation.

GCF(94710,94720) = 10
LCM(94710,94720) = ( 94710 × 94720) / 10
LCM(94710,94720) = 8970931200 / 10
LCM(94710,94720) = 897093120

Least Common Multiple (LCM) of 94710 and 94720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94710 and 94720. First we will calculate the prime factors of 94710 and 94720.

Prime Factorization of 94710

Prime Factorization of 94720

Now multiplying the highest exponent prime factors to calculate the LCM of 94710 and 94720.

LCM(94710,94720) = 2⁹ × 3¹ × 5¹ × 7¹ × 11¹ × 41¹ × 37¹
LCM(94710,94720) = 897093120