What is the Least Common Multiple of 87060 and 87075?

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 87060 and 87075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87060 and 87075, than apply into the LCM equation.

GCF(87060,87075) = 15
LCM(87060,87075) = ( 87060 × 87075) / 15
LCM(87060,87075) = 7580749500 / 15
LCM(87060,87075) = 505383300

Least Common Multiple (LCM) of 87060 and 87075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87060 and 87075. First we will calculate the prime factors of 87060 and 87075.

Prime Factorization of 87060

Prime Factorization of 87075

Now multiplying the highest exponent prime factors to calculate the LCM of 87060 and 87075.

LCM(87060,87075) = 2² × 3⁴ × 5² × 1451¹ × 43¹
LCM(87060,87075) = 505383300