What is the Least Common Multiple of 94944 and 94960?

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 94944 and 94960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94944 and 94960, than apply into the LCM equation.

GCF(94944,94960) = 16
LCM(94944,94960) = ( 94944 × 94960) / 16
LCM(94944,94960) = 9015882240 / 16
LCM(94944,94960) = 563492640

Least Common Multiple (LCM) of 94944 and 94960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94944 and 94960. First we will calculate the prime factors of 94944 and 94960.

Prime Factorization of 94944

Prime Factorization of 94960

Now multiplying the highest exponent prime factors to calculate the LCM of 94944 and 94960.

LCM(94944,94960) = 2⁵ × 3¹ × 23¹ × 43¹ × 5¹ × 1187¹
LCM(94944,94960) = 563492640