What is the Least Common Multiple of 96278 and 96296?

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 96278 and 96296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96278 and 96296, than apply into the LCM equation.

GCF(96278,96296) = 2
LCM(96278,96296) = ( 96278 × 96296) / 2
LCM(96278,96296) = 9271186288 / 2
LCM(96278,96296) = 4635593144

Least Common Multiple (LCM) of 96278 and 96296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96278 and 96296. First we will calculate the prime factors of 96278 and 96296.

Prime Factorization of 96278

Prime Factorization of 96296

Now multiplying the highest exponent prime factors to calculate the LCM of 96278 and 96296.

LCM(96278,96296) = 2³ × 7¹ × 13¹ × 23² × 12037¹
LCM(96278,96296) = 4635593144