What is the Least Common Multiple of 88470 and 88476?

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 88470 and 88476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88470 and 88476, than apply into the LCM equation.

GCF(88470,88476) = 6
LCM(88470,88476) = ( 88470 × 88476) / 6
LCM(88470,88476) = 7827471720 / 6
LCM(88470,88476) = 1304578620

Least Common Multiple (LCM) of 88470 and 88476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88470 and 88476. First we will calculate the prime factors of 88470 and 88476.

Prime Factorization of 88470

Prime Factorization of 88476

Now multiplying the highest exponent prime factors to calculate the LCM of 88470 and 88476.

LCM(88470,88476) = 2² × 3² × 5¹ × 983¹ × 73¹ × 101¹
LCM(88470,88476) = 1304578620