What is the Least Common Multiple of 94960 and 94975?

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 94960 and 94975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94960 and 94975, than apply into the LCM equation.

GCF(94960,94975) = 5
LCM(94960,94975) = ( 94960 × 94975) / 5
LCM(94960,94975) = 9018826000 / 5
LCM(94960,94975) = 1803765200

Least Common Multiple (LCM) of 94960 and 94975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94960 and 94975. First we will calculate the prime factors of 94960 and 94975.

Prime Factorization of 94960

Prime Factorization of 94975

Now multiplying the highest exponent prime factors to calculate the LCM of 94960 and 94975.

LCM(94960,94975) = 2⁴ × 5² × 1187¹ × 29¹ × 131¹
LCM(94960,94975) = 1803765200