What is the Least Common Multiple of 96414 and 96429?

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 96414 and 96429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96414 and 96429, than apply into the LCM equation.

GCF(96414,96429) = 3
LCM(96414,96429) = ( 96414 × 96429) / 3
LCM(96414,96429) = 9297105606 / 3
LCM(96414,96429) = 3099035202

Least Common Multiple (LCM) of 96414 and 96429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96414 and 96429. First we will calculate the prime factors of 96414 and 96429.

Prime Factorization of 96414

Prime Factorization of 96429

Now multiplying the highest exponent prime factors to calculate the LCM of 96414 and 96429.

LCM(96414,96429) = 2¹ × 3¹ × 16069¹ × 32143¹
LCM(96414,96429) = 3099035202