What is the Least Common Multiple of 49500 and 49519?

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 49500 and 49519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49500 and 49519, than apply into the LCM equation.

GCF(49500,49519) = 1
LCM(49500,49519) = ( 49500 × 49519) / 1
LCM(49500,49519) = 2451190500 / 1
LCM(49500,49519) = 2451190500

Least Common Multiple (LCM) of 49500 and 49519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49500 and 49519. First we will calculate the prime factors of 49500 and 49519.

Prime Factorization of 49500

Prime Factorization of 49519

Now multiplying the highest exponent prime factors to calculate the LCM of 49500 and 49519.

LCM(49500,49519) = 2² × 3² × 5³ × 11¹ × 23¹ × 2153¹
LCM(49500,49519) = 2451190500