What is the Least Common Multiple of 87030 and 87045?

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 87030 and 87045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87030 and 87045, than apply into the LCM equation.

GCF(87030,87045) = 15
LCM(87030,87045) = ( 87030 × 87045) / 15
LCM(87030,87045) = 7575526350 / 15
LCM(87030,87045) = 505035090

Least Common Multiple (LCM) of 87030 and 87045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87030 and 87045. First we will calculate the prime factors of 87030 and 87045.

Prime Factorization of 87030

Prime Factorization of 87045

Now multiplying the highest exponent prime factors to calculate the LCM of 87030 and 87045.

LCM(87030,87045) = 2¹ × 3² × 5¹ × 967¹ × 7¹ × 829¹
LCM(87030,87045) = 505035090