What is the Least Common Multiple of 96272 and 96276?

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 96272 and 96276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96272 and 96276, than apply into the LCM equation.

GCF(96272,96276) = 4
LCM(96272,96276) = ( 96272 × 96276) / 4
LCM(96272,96276) = 9268683072 / 4
LCM(96272,96276) = 2317170768

Least Common Multiple (LCM) of 96272 and 96276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96272 and 96276. First we will calculate the prime factors of 96272 and 96276.

Prime Factorization of 96272

Prime Factorization of 96276

Now multiplying the highest exponent prime factors to calculate the LCM of 96272 and 96276.

LCM(96272,96276) = 2⁴ × 11¹ × 547¹ × 3¹ × 71¹ × 113¹
LCM(96272,96276) = 2317170768