What is the Least Common Multiple of 70560 and 70575?

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 70560 and 70575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70560 and 70575, than apply into the LCM equation.

GCF(70560,70575) = 15
LCM(70560,70575) = ( 70560 × 70575) / 15
LCM(70560,70575) = 4979772000 / 15
LCM(70560,70575) = 331984800

Least Common Multiple (LCM) of 70560 and 70575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70560 and 70575. First we will calculate the prime factors of 70560 and 70575.

Prime Factorization of 70560

Prime Factorization of 70575

Now multiplying the highest exponent prime factors to calculate the LCM of 70560 and 70575.

LCM(70560,70575) = 2⁵ × 3² × 5² × 7² × 941¹
LCM(70560,70575) = 331984800