What is the Least Common Multiple of 38306 and 38312?

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 38306 and 38312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38306 and 38312, than apply into the LCM equation.

GCF(38306,38312) = 2
LCM(38306,38312) = ( 38306 × 38312) / 2
LCM(38306,38312) = 1467579472 / 2
LCM(38306,38312) = 733789736

Least Common Multiple (LCM) of 38306 and 38312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38306 and 38312. First we will calculate the prime factors of 38306 and 38312.

Prime Factorization of 38306

Prime Factorization of 38312

Now multiplying the highest exponent prime factors to calculate the LCM of 38306 and 38312.

LCM(38306,38312) = 2³ × 107¹ × 179¹ × 4789¹
LCM(38306,38312) = 733789736