What is the Least Common Multiple of 53075 and 53084?

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 53075 and 53084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53075 and 53084, than apply into the LCM equation.

GCF(53075,53084) = 1
LCM(53075,53084) = ( 53075 × 53084) / 1
LCM(53075,53084) = 2817433300 / 1
LCM(53075,53084) = 2817433300

Least Common Multiple (LCM) of 53075 and 53084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53075 and 53084. First we will calculate the prime factors of 53075 and 53084.

Prime Factorization of 53075

Prime Factorization of 53084

Now multiplying the highest exponent prime factors to calculate the LCM of 53075 and 53084.

LCM(53075,53084) = 5² × 11¹ × 193¹ × 2² × 23¹ × 577¹
LCM(53075,53084) = 2817433300