What is the Least Common Multiple of 96292 and 96304?

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 96292 and 96304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96292 and 96304, than apply into the LCM equation.

GCF(96292,96304) = 4
LCM(96292,96304) = ( 96292 × 96304) / 4
LCM(96292,96304) = 9273304768 / 4
LCM(96292,96304) = 2318326192

Least Common Multiple (LCM) of 96292 and 96304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96292 and 96304. First we will calculate the prime factors of 96292 and 96304.

Prime Factorization of 96292

Prime Factorization of 96304

Now multiplying the highest exponent prime factors to calculate the LCM of 96292 and 96304.

LCM(96292,96304) = 2⁴ × 7¹ × 19¹ × 181¹ × 13¹ × 463¹
LCM(96292,96304) = 2318326192