What is the Least Common Multiple of 96408 and 96421?

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 96408 and 96421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96408 and 96421, than apply into the LCM equation.

GCF(96408,96421) = 13
LCM(96408,96421) = ( 96408 × 96421) / 13
LCM(96408,96421) = 9295755768 / 13
LCM(96408,96421) = 715058136

Least Common Multiple (LCM) of 96408 and 96421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96408 and 96421. First we will calculate the prime factors of 96408 and 96421.

Prime Factorization of 96408

Prime Factorization of 96421

Now multiplying the highest exponent prime factors to calculate the LCM of 96408 and 96421.

LCM(96408,96421) = 2³ × 3² × 13¹ × 103¹ × 7417¹
LCM(96408,96421) = 715058136