What is the Least Common Multiple of 49500 and 49513?

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 49513 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 49513, than apply into the LCM equation.

GCF(49500,49513) = 1
LCM(49500,49513) = ( 49500 × 49513) / 1
LCM(49500,49513) = 2450893500 / 1
LCM(49500,49513) = 2450893500

Least Common Multiple (LCM) of 49500 and 49513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49500 and 49513. First we will calculate the prime factors of 49500 and 49513.

Prime Factorization of 49500

Prime Factorization of 49513

Now multiplying the highest exponent prime factors to calculate the LCM of 49500 and 49513.

LCM(49500,49513) = 2² × 3² × 5³ × 11¹ × 67¹ × 739¹
LCM(49500,49513) = 2450893500