What is the Least Common Multiple of 49272 and 49285?

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 49272 and 49285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49272 and 49285, than apply into the LCM equation.

GCF(49272,49285) = 1
LCM(49272,49285) = ( 49272 × 49285) / 1
LCM(49272,49285) = 2428370520 / 1
LCM(49272,49285) = 2428370520

Least Common Multiple (LCM) of 49272 and 49285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49272 and 49285. First we will calculate the prime factors of 49272 and 49285.

Prime Factorization of 49272

Prime Factorization of 49285

Now multiplying the highest exponent prime factors to calculate the LCM of 49272 and 49285.

LCM(49272,49285) = 2³ × 3¹ × 2053¹ × 5¹ × 9857¹
LCM(49272,49285) = 2428370520