What is the Least Common Multiple of 64029 and 64033?

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 64029 and 64033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64029 and 64033, than apply into the LCM equation.

GCF(64029,64033) = 1
LCM(64029,64033) = ( 64029 × 64033) / 1
LCM(64029,64033) = 4099968957 / 1
LCM(64029,64033) = 4099968957

Least Common Multiple (LCM) of 64029 and 64033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64029 and 64033. First we will calculate the prime factors of 64029 and 64033.

Prime Factorization of 64029

Prime Factorization of 64033

Now multiplying the highest exponent prime factors to calculate the LCM of 64029 and 64033.

LCM(64029,64033) = 3¹ × 7¹ × 3049¹ × 64033¹
LCM(64029,64033) = 4099968957