What is the Least Common Multiple of 87045 and 87065?

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 87045 and 87065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87045 and 87065, than apply into the LCM equation.

GCF(87045,87065) = 5
LCM(87045,87065) = ( 87045 × 87065) / 5
LCM(87045,87065) = 7578572925 / 5
LCM(87045,87065) = 1515714585

Least Common Multiple (LCM) of 87045 and 87065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87045 and 87065. First we will calculate the prime factors of 87045 and 87065.

Prime Factorization of 87045

Prime Factorization of 87065

Now multiplying the highest exponent prime factors to calculate the LCM of 87045 and 87065.

LCM(87045,87065) = 3¹ × 5¹ × 7¹ × 829¹ × 11¹ × 1583¹
LCM(87045,87065) = 1515714585