What is the Least Common Multiple of 96840 and 96851?

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 96840 and 96851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96840 and 96851, than apply into the LCM equation.

GCF(96840,96851) = 1
LCM(96840,96851) = ( 96840 × 96851) / 1
LCM(96840,96851) = 9379050840 / 1
LCM(96840,96851) = 9379050840

Least Common Multiple (LCM) of 96840 and 96851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96840 and 96851. First we will calculate the prime factors of 96840 and 96851.

Prime Factorization of 96840

Prime Factorization of 96851

Now multiplying the highest exponent prime factors to calculate the LCM of 96840 and 96851.

LCM(96840,96851) = 2³ × 3² × 5¹ × 269¹ × 96851¹
LCM(96840,96851) = 9379050840