What is the Least Common Multiple of 87306 and 87312?

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 87306 and 87312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87306 and 87312, than apply into the LCM equation.

GCF(87306,87312) = 6
LCM(87306,87312) = ( 87306 × 87312) / 6
LCM(87306,87312) = 7622861472 / 6
LCM(87306,87312) = 1270476912

Least Common Multiple (LCM) of 87306 and 87312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87306 and 87312. First we will calculate the prime factors of 87306 and 87312.

Prime Factorization of 87306

Prime Factorization of 87312

Now multiplying the highest exponent prime factors to calculate the LCM of 87306 and 87312.

LCM(87306,87312) = 2⁴ × 3¹ × 14551¹ × 17¹ × 107¹
LCM(87306,87312) = 1270476912