What is the Least Common Multiple of 98928 and 98943?

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 98943 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 98943, than apply into the LCM equation.

GCF(98928,98943) = 3
LCM(98928,98943) = ( 98928 × 98943) / 3
LCM(98928,98943) = 9788233104 / 3
LCM(98928,98943) = 3262744368

Least Common Multiple (LCM) of 98928 and 98943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98928 and 98943. First we will calculate the prime factors of 98928 and 98943.

Prime Factorization of 98928

Prime Factorization of 98943

Now multiplying the highest exponent prime factors to calculate the LCM of 98928 and 98943.

LCM(98928,98943) = 2⁴ × 3³ × 229¹ × 13¹ × 43¹ × 59¹
LCM(98928,98943) = 3262744368