What is the Least Common Multiple of 73056 and 73071?

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 73056 and 73071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73056 and 73071, than apply into the LCM equation.

GCF(73056,73071) = 3
LCM(73056,73071) = ( 73056 × 73071) / 3
LCM(73056,73071) = 5338274976 / 3
LCM(73056,73071) = 1779424992

Least Common Multiple (LCM) of 73056 and 73071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73056 and 73071. First we will calculate the prime factors of 73056 and 73071.

Prime Factorization of 73056

Prime Factorization of 73071

Now multiplying the highest exponent prime factors to calculate the LCM of 73056 and 73071.

LCM(73056,73071) = 2⁵ × 3² × 761¹ × 23¹ × 353¹
LCM(73056,73071) = 1779424992