What is the Least Common Multiple of 54386 and 54394?

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 54386 and 54394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54386 and 54394, than apply into the LCM equation.

GCF(54386,54394) = 2
LCM(54386,54394) = ( 54386 × 54394) / 2
LCM(54386,54394) = 2958272084 / 2
LCM(54386,54394) = 1479136042

Least Common Multiple (LCM) of 54386 and 54394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54386 and 54394. First we will calculate the prime factors of 54386 and 54394.

Prime Factorization of 54386

Prime Factorization of 54394

Now multiplying the highest exponent prime factors to calculate the LCM of 54386 and 54394.

LCM(54386,54394) = 2¹ × 71¹ × 383¹ × 27197¹
LCM(54386,54394) = 1479136042