What is the Least Common Multiple of 87609 and 87629?

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 87629 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 87629, than apply into the LCM equation.

GCF(87609,87629) = 1
LCM(87609,87629) = ( 87609 × 87629) / 1
LCM(87609,87629) = 7677089061 / 1
LCM(87609,87629) = 7677089061

Least Common Multiple (LCM) of 87609 and 87629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87609 and 87629. First we will calculate the prime factors of 87609 and 87629.

Prime Factorization of 87609

Prime Factorization of 87629

Now multiplying the highest exponent prime factors to calculate the LCM of 87609 and 87629.

LCM(87609,87629) = 3¹ × 19¹ × 29¹ × 53¹ × 87629¹
LCM(87609,87629) = 7677089061