What is the Least Common Multiple of 87575 and 87580?

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 87575 and 87580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87575 and 87580, than apply into the LCM equation.

GCF(87575,87580) = 5
LCM(87575,87580) = ( 87575 × 87580) / 5
LCM(87575,87580) = 7669818500 / 5
LCM(87575,87580) = 1533963700

Least Common Multiple (LCM) of 87575 and 87580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87575 and 87580. First we will calculate the prime factors of 87575 and 87580.

Prime Factorization of 87575

Prime Factorization of 87580

Now multiplying the highest exponent prime factors to calculate the LCM of 87575 and 87580.

LCM(87575,87580) = 5² × 31¹ × 113¹ × 2² × 29¹ × 151¹
LCM(87575,87580) = 1533963700