What is the Least Common Multiple of 70575 and 70580?

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 70575 and 70580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70575 and 70580, than apply into the LCM equation.

GCF(70575,70580) = 5
LCM(70575,70580) = ( 70575 × 70580) / 5
LCM(70575,70580) = 4981183500 / 5
LCM(70575,70580) = 996236700

Least Common Multiple (LCM) of 70575 and 70580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70575 and 70580. First we will calculate the prime factors of 70575 and 70580.

Prime Factorization of 70575

Prime Factorization of 70580

Now multiplying the highest exponent prime factors to calculate the LCM of 70575 and 70580.

LCM(70575,70580) = 3¹ × 5² × 941¹ × 2² × 3529¹
LCM(70575,70580) = 996236700