What is the Least Common Multiple of 96840 and 96860?

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 96860 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 96860, than apply into the LCM equation.

GCF(96840,96860) = 20
LCM(96840,96860) = ( 96840 × 96860) / 20
LCM(96840,96860) = 9379922400 / 20
LCM(96840,96860) = 468996120

Least Common Multiple (LCM) of 96840 and 96860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96840 and 96860. First we will calculate the prime factors of 96840 and 96860.

Prime Factorization of 96840

Prime Factorization of 96860

Now multiplying the highest exponent prime factors to calculate the LCM of 96840 and 96860.

LCM(96840,96860) = 2³ × 3² × 5¹ × 269¹ × 29¹ × 167¹
LCM(96840,96860) = 468996120