What is the Least Common Multiple of 40709 and 40726?

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 40709 and 40726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40709 and 40726, than apply into the LCM equation.

GCF(40709,40726) = 1
LCM(40709,40726) = ( 40709 × 40726) / 1
LCM(40709,40726) = 1657914734 / 1
LCM(40709,40726) = 1657914734

Least Common Multiple (LCM) of 40709 and 40726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40709 and 40726. First we will calculate the prime factors of 40709 and 40726.

Prime Factorization of 40709

Prime Factorization of 40726

Now multiplying the highest exponent prime factors to calculate the LCM of 40709 and 40726.

LCM(40709,40726) = 40709¹ × 2¹ × 7¹ × 2909¹
LCM(40709,40726) = 1657914734