What is the Least Common Multiple of 98944 and 98950?

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 98944 and 98950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98944 and 98950, than apply into the LCM equation.

GCF(98944,98950) = 2
LCM(98944,98950) = ( 98944 × 98950) / 2
LCM(98944,98950) = 9790508800 / 2
LCM(98944,98950) = 4895254400

Least Common Multiple (LCM) of 98944 and 98950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98944 and 98950. First we will calculate the prime factors of 98944 and 98950.

Prime Factorization of 98944

Prime Factorization of 98950

Now multiplying the highest exponent prime factors to calculate the LCM of 98944 and 98950.

LCM(98944,98950) = 2⁷ × 773¹ × 5² × 1979¹
LCM(98944,98950) = 4895254400