What is the Least Common Multiple of 96408 and 96420?

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 96420 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 96420, than apply into the LCM equation.

GCF(96408,96420) = 12
LCM(96408,96420) = ( 96408 × 96420) / 12
LCM(96408,96420) = 9295659360 / 12
LCM(96408,96420) = 774638280

Least Common Multiple (LCM) of 96408 and 96420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96408 and 96420. First we will calculate the prime factors of 96408 and 96420.

Prime Factorization of 96408

Prime Factorization of 96420

Now multiplying the highest exponent prime factors to calculate the LCM of 96408 and 96420.

LCM(96408,96420) = 2³ × 3² × 13¹ × 103¹ × 5¹ × 1607¹
LCM(96408,96420) = 774638280