What is the Least Common Multiple of 98928 and 98944?

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 98928 and 98944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98928 and 98944, than apply into the LCM equation.

GCF(98928,98944) = 16
LCM(98928,98944) = ( 98928 × 98944) / 16
LCM(98928,98944) = 9788332032 / 16
LCM(98928,98944) = 611770752

Least Common Multiple (LCM) of 98928 and 98944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98928 and 98944. First we will calculate the prime factors of 98928 and 98944.

Prime Factorization of 98928

Prime Factorization of 98944

Now multiplying the highest exponent prime factors to calculate the LCM of 98928 and 98944.

LCM(98928,98944) = 2⁷ × 3³ × 229¹ × 773¹
LCM(98928,98944) = 611770752