What is the Least Common Multiple of 64071 and 64089?

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 64071 and 64089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64071 and 64089, than apply into the LCM equation.

GCF(64071,64089) = 9
LCM(64071,64089) = ( 64071 × 64089) / 9
LCM(64071,64089) = 4106246319 / 9
LCM(64071,64089) = 456249591

Least Common Multiple (LCM) of 64071 and 64089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64071 and 64089. First we will calculate the prime factors of 64071 and 64089.

Prime Factorization of 64071

Prime Factorization of 64089

Now multiplying the highest exponent prime factors to calculate the LCM of 64071 and 64089.

LCM(64071,64089) = 3⁴ × 7¹ × 113¹ × 7121¹
LCM(64071,64089) = 456249591