What is the Least Common Multiple of 38751 and 38771?

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 38751 and 38771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38751 and 38771, than apply into the LCM equation.

GCF(38751,38771) = 1
LCM(38751,38771) = ( 38751 × 38771) / 1
LCM(38751,38771) = 1502415021 / 1
LCM(38751,38771) = 1502415021

Least Common Multiple (LCM) of 38751 and 38771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38751 and 38771. First we will calculate the prime factors of 38751 and 38771.

Prime Factorization of 38751

Prime Factorization of 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 38751 and 38771.

LCM(38751,38771) = 3¹ × 12917¹ × 137¹ × 283¹
LCM(38751,38771) = 1502415021