What is the Least Common Multiple of 49488 and 49498?

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 49488 and 49498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49488 and 49498, than apply into the LCM equation.

GCF(49488,49498) = 2
LCM(49488,49498) = ( 49488 × 49498) / 2
LCM(49488,49498) = 2449557024 / 2
LCM(49488,49498) = 1224778512

Least Common Multiple (LCM) of 49488 and 49498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49488 and 49498. First we will calculate the prime factors of 49488 and 49498.

Prime Factorization of 49488

Prime Factorization of 49498

Now multiplying the highest exponent prime factors to calculate the LCM of 49488 and 49498.

LCM(49488,49498) = 2⁴ × 3¹ × 1031¹ × 24749¹
LCM(49488,49498) = 1224778512