What is the Least Common Multiple of 49599 and 49619?

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 49599 and 49619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49599 and 49619, than apply into the LCM equation.

GCF(49599,49619) = 1
LCM(49599,49619) = ( 49599 × 49619) / 1
LCM(49599,49619) = 2461052781 / 1
LCM(49599,49619) = 2461052781

Least Common Multiple (LCM) of 49599 and 49619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49599 and 49619. First we will calculate the prime factors of 49599 and 49619.

Prime Factorization of 49599

Prime Factorization of 49619

Now multiplying the highest exponent prime factors to calculate the LCM of 49599 and 49619.

LCM(49599,49619) = 3³ × 11¹ × 167¹ × 29² × 59¹
LCM(49599,49619) = 2461052781