What is the Least Common Multiple of 73056 and 73075?

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 73075 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 73075, than apply into the LCM equation.

GCF(73056,73075) = 1
LCM(73056,73075) = ( 73056 × 73075) / 1
LCM(73056,73075) = 5338567200 / 1
LCM(73056,73075) = 5338567200

Least Common Multiple (LCM) of 73056 and 73075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73056 and 73075. First we will calculate the prime factors of 73056 and 73075.

Prime Factorization of 73056

Prime Factorization of 73075

Now multiplying the highest exponent prime factors to calculate the LCM of 73056 and 73075.

LCM(73056,73075) = 2⁵ × 3¹ × 761¹ × 5² × 37¹ × 79¹
LCM(73056,73075) = 5338567200