What is the Least Common Multiple of 38648 and 38657?

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 38648 and 38657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38648 and 38657, than apply into the LCM equation.

GCF(38648,38657) = 1
LCM(38648,38657) = ( 38648 × 38657) / 1
LCM(38648,38657) = 1494015736 / 1
LCM(38648,38657) = 1494015736

Least Common Multiple (LCM) of 38648 and 38657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38648 and 38657. First we will calculate the prime factors of 38648 and 38657.

Prime Factorization of 38648

Prime Factorization of 38657

Now multiplying the highest exponent prime factors to calculate the LCM of 38648 and 38657.

LCM(38648,38657) = 2³ × 4831¹ × 29¹ × 31¹ × 43¹
LCM(38648,38657) = 1494015736