What is the Least Common Multiple of 64029 and 64035?

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 64035 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 64035, than apply into the LCM equation.

GCF(64029,64035) = 3
LCM(64029,64035) = ( 64029 × 64035) / 3
LCM(64029,64035) = 4100097015 / 3
LCM(64029,64035) = 1366699005

Least Common Multiple (LCM) of 64029 and 64035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64029 and 64035. First we will calculate the prime factors of 64029 and 64035.

Prime Factorization of 64029

Prime Factorization of 64035

Now multiplying the highest exponent prime factors to calculate the LCM of 64029 and 64035.

LCM(64029,64035) = 3² × 7¹ × 3049¹ × 5¹ × 1423¹
LCM(64029,64035) = 1366699005