What is the Least Common Multiple of 65072 and 65084?

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 65072 and 65084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65072 and 65084, than apply into the LCM equation.

GCF(65072,65084) = 4
LCM(65072,65084) = ( 65072 × 65084) / 4
LCM(65072,65084) = 4235146048 / 4
LCM(65072,65084) = 1058786512

Least Common Multiple (LCM) of 65072 and 65084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65072 and 65084. First we will calculate the prime factors of 65072 and 65084.

Prime Factorization of 65072

Prime Factorization of 65084

Now multiplying the highest exponent prime factors to calculate the LCM of 65072 and 65084.

LCM(65072,65084) = 2⁴ × 7² × 83¹ × 53¹ × 307¹
LCM(65072,65084) = 1058786512