What is the Least Common Multiple of 87475 and 87489?

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 87475 and 87489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87475 and 87489, than apply into the LCM equation.

GCF(87475,87489) = 1
LCM(87475,87489) = ( 87475 × 87489) / 1
LCM(87475,87489) = 7653100275 / 1
LCM(87475,87489) = 7653100275

Least Common Multiple (LCM) of 87475 and 87489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87475 and 87489. First we will calculate the prime factors of 87475 and 87489.

Prime Factorization of 87475

Prime Factorization of 87489

Now multiplying the highest exponent prime factors to calculate the LCM of 87475 and 87489.

LCM(87475,87489) = 5² × 3499¹ × 3² × 9721¹
LCM(87475,87489) = 7653100275