What is the Least Common Multiple of 49950 and 49955?

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 49950 and 49955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49950 and 49955, than apply into the LCM equation.

GCF(49950,49955) = 5
LCM(49950,49955) = ( 49950 × 49955) / 5
LCM(49950,49955) = 2495252250 / 5
LCM(49950,49955) = 499050450

Least Common Multiple (LCM) of 49950 and 49955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49950 and 49955. First we will calculate the prime factors of 49950 and 49955.

Prime Factorization of 49950

Prime Factorization of 49955

Now multiplying the highest exponent prime factors to calculate the LCM of 49950 and 49955.

LCM(49950,49955) = 2¹ × 3³ × 5² × 37¹ × 97¹ × 103¹
LCM(49950,49955) = 499050450