What is the Least Common Multiple of 75042 and 75056?

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 75042 and 75056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75042 and 75056, than apply into the LCM equation.

GCF(75042,75056) = 2
LCM(75042,75056) = ( 75042 × 75056) / 2
LCM(75042,75056) = 5632352352 / 2
LCM(75042,75056) = 2816176176

Least Common Multiple (LCM) of 75042 and 75056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75042 and 75056. First we will calculate the prime factors of 75042 and 75056.

Prime Factorization of 75042

Prime Factorization of 75056

Now multiplying the highest exponent prime factors to calculate the LCM of 75042 and 75056.

LCM(75042,75056) = 2⁴ × 3² × 11¹ × 379¹ × 4691¹
LCM(75042,75056) = 2816176176