What is the Least Common Multiple of 64608 and 64614?

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 64608 and 64614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64608 and 64614, than apply into the LCM equation.

GCF(64608,64614) = 6
LCM(64608,64614) = ( 64608 × 64614) / 6
LCM(64608,64614) = 4174581312 / 6
LCM(64608,64614) = 695763552

Least Common Multiple (LCM) of 64608 and 64614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64608 and 64614. First we will calculate the prime factors of 64608 and 64614.

Prime Factorization of 64608

Prime Factorization of 64614

Now multiplying the highest exponent prime factors to calculate the LCM of 64608 and 64614.

LCM(64608,64614) = 2⁵ × 3¹ × 673¹ × 11² × 89¹
LCM(64608,64614) = 695763552