What is the Least Common Multiple of 75056 and 75075?

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 75056 and 75075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75056 and 75075, than apply into the LCM equation.

GCF(75056,75075) = 1
LCM(75056,75075) = ( 75056 × 75075) / 1
LCM(75056,75075) = 5634829200 / 1
LCM(75056,75075) = 5634829200

Least Common Multiple (LCM) of 75056 and 75075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75056 and 75075. First we will calculate the prime factors of 75056 and 75075.

Prime Factorization of 75056

Prime Factorization of 75075

Now multiplying the highest exponent prime factors to calculate the LCM of 75056 and 75075.

LCM(75056,75075) = 2⁴ × 4691¹ × 3¹ × 5² × 7¹ × 11¹ × 13¹
LCM(75056,75075) = 5634829200