What is the Least Common Multiple of 40757 and 40771?

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 40757 and 40771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40757 and 40771, than apply into the LCM equation.

GCF(40757,40771) = 1
LCM(40757,40771) = ( 40757 × 40771) / 1
LCM(40757,40771) = 1661703647 / 1
LCM(40757,40771) = 1661703647

Least Common Multiple (LCM) of 40757 and 40771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40757 and 40771. First we will calculate the prime factors of 40757 and 40771.

Prime Factorization of 40757

Prime Factorization of 40771

Now multiplying the highest exponent prime factors to calculate the LCM of 40757 and 40771.

LCM(40757,40771) = 53¹ × 769¹ × 40771¹
LCM(40757,40771) = 1661703647