What is the Least Common Multiple of 96462 and 96480?

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 96462 and 96480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96462 and 96480, than apply into the LCM equation.

GCF(96462,96480) = 18
LCM(96462,96480) = ( 96462 × 96480) / 18
LCM(96462,96480) = 9306653760 / 18
LCM(96462,96480) = 517036320

Least Common Multiple (LCM) of 96462 and 96480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96462 and 96480. First we will calculate the prime factors of 96462 and 96480.

Prime Factorization of 96462

Prime Factorization of 96480

Now multiplying the highest exponent prime factors to calculate the LCM of 96462 and 96480.

LCM(96462,96480) = 2⁵ × 3² × 23¹ × 233¹ × 5¹ × 67¹
LCM(96462,96480) = 517036320