What is the Least Common Multiple of 87609 and 87621?

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 87609 and 87621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87609 and 87621, than apply into the LCM equation.

GCF(87609,87621) = 3
LCM(87609,87621) = ( 87609 × 87621) / 3
LCM(87609,87621) = 7676388189 / 3
LCM(87609,87621) = 2558796063

Least Common Multiple (LCM) of 87609 and 87621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87609 and 87621. First we will calculate the prime factors of 87609 and 87621.

Prime Factorization of 87609

Prime Factorization of 87621

Now multiplying the highest exponent prime factors to calculate the LCM of 87609 and 87621.

LCM(87609,87621) = 3¹ × 19¹ × 29¹ × 53¹ × 29207¹
LCM(87609,87621) = 2558796063