What is the Least Common Multiple of 74286 and 74304?

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 74286 and 74304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74286 and 74304, than apply into the LCM equation.

GCF(74286,74304) = 18
LCM(74286,74304) = ( 74286 × 74304) / 18
LCM(74286,74304) = 5519746944 / 18
LCM(74286,74304) = 306652608

Least Common Multiple (LCM) of 74286 and 74304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74286 and 74304. First we will calculate the prime factors of 74286 and 74304.

Prime Factorization of 74286

Prime Factorization of 74304

Now multiplying the highest exponent prime factors to calculate the LCM of 74286 and 74304.

LCM(74286,74304) = 2⁶ × 3³ × 4127¹ × 43¹
LCM(74286,74304) = 306652608