What is the Least Common Multiple of 64668 and 64677?

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 64668 and 64677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64668 and 64677, than apply into the LCM equation.

GCF(64668,64677) = 3
LCM(64668,64677) = ( 64668 × 64677) / 3
LCM(64668,64677) = 4182532236 / 3
LCM(64668,64677) = 1394177412

Least Common Multiple (LCM) of 64668 and 64677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64668 and 64677. First we will calculate the prime factors of 64668 and 64677.

Prime Factorization of 64668

Prime Factorization of 64677

Now multiplying the highest exponent prime factors to calculate the LCM of 64668 and 64677.

LCM(64668,64677) = 2² × 3¹ × 17¹ × 317¹ × 21559¹
LCM(64668,64677) = 1394177412