What is the Least Common Multiple of 39646 and 39657?

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 39646 and 39657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39646 and 39657, than apply into the LCM equation.

GCF(39646,39657) = 1
LCM(39646,39657) = ( 39646 × 39657) / 1
LCM(39646,39657) = 1572241422 / 1
LCM(39646,39657) = 1572241422

Least Common Multiple (LCM) of 39646 and 39657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39646 and 39657. First we will calculate the prime factors of 39646 and 39657.

Prime Factorization of 39646

Prime Factorization of 39657

Now multiplying the highest exponent prime factors to calculate the LCM of 39646 and 39657.

LCM(39646,39657) = 2¹ × 43¹ × 461¹ × 3¹ × 13219¹
LCM(39646,39657) = 1572241422