What is the Least Common Multiple of 64704 and 64710?

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 64704 and 64710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64704 and 64710, than apply into the LCM equation.

GCF(64704,64710) = 6
LCM(64704,64710) = ( 64704 × 64710) / 6
LCM(64704,64710) = 4186995840 / 6
LCM(64704,64710) = 697832640

Least Common Multiple (LCM) of 64704 and 64710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64704 and 64710. First we will calculate the prime factors of 64704 and 64710.

Prime Factorization of 64704

Prime Factorization of 64710

Now multiplying the highest exponent prime factors to calculate the LCM of 64704 and 64710.

LCM(64704,64710) = 2⁶ × 3² × 337¹ × 5¹ × 719¹
LCM(64704,64710) = 697832640