What is the Least Common Multiple of 49784 and 49798?

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 49784 and 49798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49784 and 49798, than apply into the LCM equation.

GCF(49784,49798) = 14
LCM(49784,49798) = ( 49784 × 49798) / 14
LCM(49784,49798) = 2479143632 / 14
LCM(49784,49798) = 177081688

Least Common Multiple (LCM) of 49784 and 49798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49784 and 49798. First we will calculate the prime factors of 49784 and 49798.

Prime Factorization of 49784

Prime Factorization of 49798

Now multiplying the highest exponent prime factors to calculate the LCM of 49784 and 49798.

LCM(49784,49798) = 2³ × 7² × 127¹ × 3557¹
LCM(49784,49798) = 177081688