What is the Least Common Multiple of 49500 and 49516?

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 49516 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 49516, than apply into the LCM equation.

GCF(49500,49516) = 4
LCM(49500,49516) = ( 49500 × 49516) / 4
LCM(49500,49516) = 2451042000 / 4
LCM(49500,49516) = 612760500

Least Common Multiple (LCM) of 49500 and 49516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49500 and 49516. First we will calculate the prime factors of 49500 and 49516.

Prime Factorization of 49500

Prime Factorization of 49516

Now multiplying the highest exponent prime factors to calculate the LCM of 49500 and 49516.

LCM(49500,49516) = 2² × 3² × 5³ × 11¹ × 12379¹
LCM(49500,49516) = 612760500