What is the Least Common Multiple of 50574 and 50588?

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 50574 and 50588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50574 and 50588, than apply into the LCM equation.

GCF(50574,50588) = 2
LCM(50574,50588) = ( 50574 × 50588) / 2
LCM(50574,50588) = 2558437512 / 2
LCM(50574,50588) = 1279218756

Least Common Multiple (LCM) of 50574 and 50588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50574 and 50588. First we will calculate the prime factors of 50574 and 50588.

Prime Factorization of 50574

Prime Factorization of 50588

Now multiplying the highest exponent prime factors to calculate the LCM of 50574 and 50588.

LCM(50574,50588) = 2² × 3¹ × 8429¹ × 12647¹
LCM(50574,50588) = 1279218756