What is the Least Common Multiple of 98944 and 98958?

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 98958 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 98958, than apply into the LCM equation.

GCF(98944,98958) = 2
LCM(98944,98958) = ( 98944 × 98958) / 2
LCM(98944,98958) = 9791300352 / 2
LCM(98944,98958) = 4895650176

Least Common Multiple (LCM) of 98944 and 98958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98944 and 98958. First we will calculate the prime factors of 98944 and 98958.

Prime Factorization of 98944

Prime Factorization of 98958

Now multiplying the highest exponent prime factors to calculate the LCM of 98944 and 98958.

LCM(98944,98958) = 2⁷ × 773¹ × 3¹ × 16493¹
LCM(98944,98958) = 4895650176