What is the Least Common Multiple of 87016 and 87030?

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 87016 and 87030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87016 and 87030, than apply into the LCM equation.

GCF(87016,87030) = 2
LCM(87016,87030) = ( 87016 × 87030) / 2
LCM(87016,87030) = 7573002480 / 2
LCM(87016,87030) = 3786501240

Least Common Multiple (LCM) of 87016 and 87030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87016 and 87030. First we will calculate the prime factors of 87016 and 87030.

Prime Factorization of 87016

Prime Factorization of 87030

Now multiplying the highest exponent prime factors to calculate the LCM of 87016 and 87030.

LCM(87016,87030) = 2³ × 73¹ × 149¹ × 3² × 5¹ × 967¹
LCM(87016,87030) = 3786501240