What is the Least Common Multiple of 64666 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 64666 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 64666 and 64672, than apply into the LCM equation.

GCF(64666,64672) = 2
LCM(64666,64672) = ( 64666 × 64672) / 2
LCM(64666,64672) = 4182079552 / 2
LCM(64666,64672) = 2091039776

Least Common Multiple (LCM) of 64666 and 64672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64666 and 64672. First we will calculate the prime factors of 64666 and 64672.

Prime Factorization of 64666

Prime Factorization of 64672

Now multiplying the highest exponent prime factors to calculate the LCM of 64666 and 64672.

LCM(64666,64672) = 2⁵ × 7¹ × 31¹ × 149¹ × 43¹ × 47¹
LCM(64666,64672) = 2091039776