What is the Least Common Multiple of 74269 and 74286?

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 74269 and 74286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74269 and 74286, than apply into the LCM equation.

GCF(74269,74286) = 1
LCM(74269,74286) = ( 74269 × 74286) / 1
LCM(74269,74286) = 5517146934 / 1
LCM(74269,74286) = 5517146934

Least Common Multiple (LCM) of 74269 and 74286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74269 and 74286. First we will calculate the prime factors of 74269 and 74286.

Prime Factorization of 74269

Prime Factorization of 74286

Now multiplying the highest exponent prime factors to calculate the LCM of 74269 and 74286.

LCM(74269,74286) = 13¹ × 29¹ × 197¹ × 2¹ × 3² × 4127¹
LCM(74269,74286) = 5517146934