What is the Least Common Multiple of 38657 and 38672?

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 38657 and 38672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38657 and 38672, than apply into the LCM equation.

GCF(38657,38672) = 1
LCM(38657,38672) = ( 38657 × 38672) / 1
LCM(38657,38672) = 1494943504 / 1
LCM(38657,38672) = 1494943504

Least Common Multiple (LCM) of 38657 and 38672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38657 and 38672. First we will calculate the prime factors of 38657 and 38672.

Prime Factorization of 38657

Prime Factorization of 38672

Now multiplying the highest exponent prime factors to calculate the LCM of 38657 and 38672.

LCM(38657,38672) = 29¹ × 31¹ × 43¹ × 2⁴ × 2417¹
LCM(38657,38672) = 1494943504