What is the Least Common Multiple of 64704 and 64722?

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 64722 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 64722, than apply into the LCM equation.

GCF(64704,64722) = 6
LCM(64704,64722) = ( 64704 × 64722) / 6
LCM(64704,64722) = 4187772288 / 6
LCM(64704,64722) = 697962048

Least Common Multiple (LCM) of 64704 and 64722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64704 and 64722. First we will calculate the prime factors of 64704 and 64722.

Prime Factorization of 64704

Prime Factorization of 64722

Now multiplying the highest exponent prime factors to calculate the LCM of 64704 and 64722.

LCM(64704,64722) = 2⁶ × 3¹ × 337¹ × 7¹ × 23¹ × 67¹
LCM(64704,64722) = 697962048