What is the Least Common Multiple of 64020 and 64029?

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 64020 and 64029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64020 and 64029, than apply into the LCM equation.

GCF(64020,64029) = 3
LCM(64020,64029) = ( 64020 × 64029) / 3
LCM(64020,64029) = 4099136580 / 3
LCM(64020,64029) = 1366378860

Least Common Multiple (LCM) of 64020 and 64029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64020 and 64029. First we will calculate the prime factors of 64020 and 64029.

Prime Factorization of 64020

Prime Factorization of 64029

Now multiplying the highest exponent prime factors to calculate the LCM of 64020 and 64029.

LCM(64020,64029) = 2² × 3¹ × 5¹ × 11¹ × 97¹ × 7¹ × 3049¹
LCM(64020,64029) = 1366378860