What is the Least Common Multiple of 64664 and 64672?

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 64664 and 64672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64664 and 64672, than apply into the LCM equation.

GCF(64664,64672) = 8
LCM(64664,64672) = ( 64664 × 64672) / 8
LCM(64664,64672) = 4181950208 / 8
LCM(64664,64672) = 522743776

Least Common Multiple (LCM) of 64664 and 64672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64664 and 64672. First we will calculate the prime factors of 64664 and 64672.

Prime Factorization of 64664

Prime Factorization of 64672

Now multiplying the highest exponent prime factors to calculate the LCM of 64664 and 64672.

LCM(64664,64672) = 2⁵ × 59¹ × 137¹ × 43¹ × 47¹
LCM(64664,64672) = 522743776