What is the Least Common Multiple of 65052 and 65072?

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 65052 and 65072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65052 and 65072, than apply into the LCM equation.

GCF(65052,65072) = 4
LCM(65052,65072) = ( 65052 × 65072) / 4
LCM(65052,65072) = 4233063744 / 4
LCM(65052,65072) = 1058265936

Least Common Multiple (LCM) of 65052 and 65072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65052 and 65072. First we will calculate the prime factors of 65052 and 65072.

Prime Factorization of 65052

Prime Factorization of 65072

Now multiplying the highest exponent prime factors to calculate the LCM of 65052 and 65072.

LCM(65052,65072) = 2⁴ × 3² × 13¹ × 139¹ × 7² × 83¹
LCM(65052,65072) = 1058265936