What is the Least Common Multiple of 87489 and 87509?

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 87489 and 87509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87489 and 87509, than apply into the LCM equation.

GCF(87489,87509) = 1
LCM(87489,87509) = ( 87489 × 87509) / 1
LCM(87489,87509) = 7656074901 / 1
LCM(87489,87509) = 7656074901

Least Common Multiple (LCM) of 87489 and 87509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87489 and 87509. First we will calculate the prime factors of 87489 and 87509.

Prime Factorization of 87489

Prime Factorization of 87509

Now multiplying the highest exponent prime factors to calculate the LCM of 87489 and 87509.

LCM(87489,87509) = 3² × 9721¹ × 87509¹
LCM(87489,87509) = 7656074901