What is the Least Common Multiple of 64014 and 64020?

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 64014 and 64020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64014 and 64020, than apply into the LCM equation.

GCF(64014,64020) = 6
LCM(64014,64020) = ( 64014 × 64020) / 6
LCM(64014,64020) = 4098176280 / 6
LCM(64014,64020) = 683029380

Least Common Multiple (LCM) of 64014 and 64020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64014 and 64020. First we will calculate the prime factors of 64014 and 64020.

Prime Factorization of 64014

Prime Factorization of 64020

Now multiplying the highest exponent prime factors to calculate the LCM of 64014 and 64020.

LCM(64014,64020) = 2² × 3¹ × 47¹ × 227¹ × 5¹ × 11¹ × 97¹
LCM(64014,64020) = 683029380