What is the Least Common Multiple of 49259 and 49272?

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 49259 and 49272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49259 and 49272, than apply into the LCM equation.

GCF(49259,49272) = 1
LCM(49259,49272) = ( 49259 × 49272) / 1
LCM(49259,49272) = 2427089448 / 1
LCM(49259,49272) = 2427089448

Least Common Multiple (LCM) of 49259 and 49272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49259 and 49272. First we will calculate the prime factors of 49259 and 49272.

Prime Factorization of 49259

Prime Factorization of 49272

Now multiplying the highest exponent prime factors to calculate the LCM of 49259 and 49272.

LCM(49259,49272) = 7¹ × 31¹ × 227¹ × 2³ × 3¹ × 2053¹
LCM(49259,49272) = 2427089448