What is the Least Common Multiple of 39864 and 39868?

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 39864 and 39868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39864 and 39868, than apply into the LCM equation.

GCF(39864,39868) = 4
LCM(39864,39868) = ( 39864 × 39868) / 4
LCM(39864,39868) = 1589297952 / 4
LCM(39864,39868) = 397324488

Least Common Multiple (LCM) of 39864 and 39868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39864 and 39868. First we will calculate the prime factors of 39864 and 39868.

Prime Factorization of 39864

Prime Factorization of 39868

Now multiplying the highest exponent prime factors to calculate the LCM of 39864 and 39868.

LCM(39864,39868) = 2³ × 3¹ × 11¹ × 151¹ × 9967¹
LCM(39864,39868) = 397324488