What is the Least Common Multiple of 64764 and 64768?

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 64764 and 64768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64764 and 64768, than apply into the LCM equation.

GCF(64764,64768) = 4
LCM(64764,64768) = ( 64764 × 64768) / 4
LCM(64764,64768) = 4194634752 / 4
LCM(64764,64768) = 1048658688

Least Common Multiple (LCM) of 64764 and 64768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64764 and 64768. First we will calculate the prime factors of 64764 and 64768.

Prime Factorization of 64764

Prime Factorization of 64768

Now multiplying the highest exponent prime factors to calculate the LCM of 64764 and 64768.

LCM(64764,64768) = 2⁸ × 3² × 7¹ × 257¹ × 11¹ × 23¹
LCM(64764,64768) = 1048658688