What is the Least Common Multiple of 96228 and 96240?

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 96228 and 96240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96228 and 96240, than apply into the LCM equation.

GCF(96228,96240) = 12
LCM(96228,96240) = ( 96228 × 96240) / 12
LCM(96228,96240) = 9260982720 / 12
LCM(96228,96240) = 771748560

Least Common Multiple (LCM) of 96228 and 96240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96228 and 96240. First we will calculate the prime factors of 96228 and 96240.

Prime Factorization of 96228

Prime Factorization of 96240

Now multiplying the highest exponent prime factors to calculate the LCM of 96228 and 96240.

LCM(96228,96240) = 2⁴ × 3⁷ × 11¹ × 5¹ × 401¹
LCM(96228,96240) = 771748560