What is the Least Common Multiple of 49900 and 49910?

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 49900 and 49910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49900 and 49910, than apply into the LCM equation.

GCF(49900,49910) = 10
LCM(49900,49910) = ( 49900 × 49910) / 10
LCM(49900,49910) = 2490509000 / 10
LCM(49900,49910) = 249050900

Least Common Multiple (LCM) of 49900 and 49910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49900 and 49910. First we will calculate the prime factors of 49900 and 49910.

Prime Factorization of 49900

Prime Factorization of 49910

Now multiplying the highest exponent prime factors to calculate the LCM of 49900 and 49910.

LCM(49900,49910) = 2² × 5² × 499¹ × 7¹ × 23¹ × 31¹
LCM(49900,49910) = 249050900