What is the Least Common Multiple of 40675 and 40691?

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 40675 and 40691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40675 and 40691, than apply into the LCM equation.

GCF(40675,40691) = 1
LCM(40675,40691) = ( 40675 × 40691) / 1
LCM(40675,40691) = 1655106425 / 1
LCM(40675,40691) = 1655106425

Least Common Multiple (LCM) of 40675 and 40691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40675 and 40691. First we will calculate the prime factors of 40675 and 40691.

Prime Factorization of 40675

Prime Factorization of 40691

Now multiplying the highest exponent prime factors to calculate the LCM of 40675 and 40691.

LCM(40675,40691) = 5² × 1627¹ × 7¹ × 5813¹
LCM(40675,40691) = 1655106425