What is the Least Common Multiple of 98832 and 98851?

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 98832 and 98851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98832 and 98851, than apply into the LCM equation.

GCF(98832,98851) = 1
LCM(98832,98851) = ( 98832 × 98851) / 1
LCM(98832,98851) = 9769642032 / 1
LCM(98832,98851) = 9769642032

Least Common Multiple (LCM) of 98832 and 98851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98832 and 98851. First we will calculate the prime factors of 98832 and 98851.

Prime Factorization of 98832

Prime Factorization of 98851

Now multiplying the highest exponent prime factors to calculate the LCM of 98832 and 98851.

LCM(98832,98851) = 2⁴ × 3¹ × 29¹ × 71¹ × 41¹ × 2411¹
LCM(98832,98851) = 9769642032