What is the Least Common Multiple of 84664 and 84672?

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 84664 and 84672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84664 and 84672, than apply into the LCM equation.

GCF(84664,84672) = 8
LCM(84664,84672) = ( 84664 × 84672) / 8
LCM(84664,84672) = 7168670208 / 8
LCM(84664,84672) = 896083776

Least Common Multiple (LCM) of 84664 and 84672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84664 and 84672. First we will calculate the prime factors of 84664 and 84672.

Prime Factorization of 84664

Prime Factorization of 84672

Now multiplying the highest exponent prime factors to calculate the LCM of 84664 and 84672.

LCM(84664,84672) = 2⁶ × 19¹ × 557¹ × 3³ × 7²
LCM(84664,84672) = 896083776