What is the Least Common Multiple of 94304 and 94315?

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 94304 and 94315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94304 and 94315, than apply into the LCM equation.

GCF(94304,94315) = 1
LCM(94304,94315) = ( 94304 × 94315) / 1
LCM(94304,94315) = 8894281760 / 1
LCM(94304,94315) = 8894281760

Least Common Multiple (LCM) of 94304 and 94315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94304 and 94315. First we will calculate the prime factors of 94304 and 94315.

Prime Factorization of 94304

Prime Factorization of 94315

Now multiplying the highest exponent prime factors to calculate the LCM of 94304 and 94315.

LCM(94304,94315) = 2⁵ × 7¹ × 421¹ × 5¹ × 13¹ × 1451¹
LCM(94304,94315) = 8894281760