What is the Least Common Multiple of 39774 and 39791?

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 39774 and 39791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39774 and 39791, than apply into the LCM equation.

GCF(39774,39791) = 1
LCM(39774,39791) = ( 39774 × 39791) / 1
LCM(39774,39791) = 1582647234 / 1
LCM(39774,39791) = 1582647234

Least Common Multiple (LCM) of 39774 and 39791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39774 and 39791. First we will calculate the prime factors of 39774 and 39791.

Prime Factorization of 39774

Prime Factorization of 39791

Now multiplying the highest exponent prime factors to calculate the LCM of 39774 and 39791.

LCM(39774,39791) = 2¹ × 3¹ × 7¹ × 947¹ × 39791¹
LCM(39774,39791) = 1582647234