What is the Least Common Multiple of 40707 and 40727?

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 40707 and 40727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40707 and 40727, than apply into the LCM equation.

GCF(40707,40727) = 1
LCM(40707,40727) = ( 40707 × 40727) / 1
LCM(40707,40727) = 1657873989 / 1
LCM(40707,40727) = 1657873989

Least Common Multiple (LCM) of 40707 and 40727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40707 and 40727. First we will calculate the prime factors of 40707 and 40727.

Prime Factorization of 40707

Prime Factorization of 40727

Now multiplying the highest exponent prime factors to calculate the LCM of 40707 and 40727.

LCM(40707,40727) = 3² × 4523¹ × 139¹ × 293¹
LCM(40707,40727) = 1657873989