What is the Least Common Multiple of 38457 and 38471?

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 38457 and 38471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38457 and 38471, than apply into the LCM equation.

GCF(38457,38471) = 1
LCM(38457,38471) = ( 38457 × 38471) / 1
LCM(38457,38471) = 1479479247 / 1
LCM(38457,38471) = 1479479247

Least Common Multiple (LCM) of 38457 and 38471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38457 and 38471. First we will calculate the prime factors of 38457 and 38471.

Prime Factorization of 38457

Prime Factorization of 38471

Now multiplying the highest exponent prime factors to calculate the LCM of 38457 and 38471.

LCM(38457,38471) = 3² × 4273¹ × 17¹ × 31¹ × 73¹
LCM(38457,38471) = 1479479247