What is the Least Common Multiple of 39768 and 39788?

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 39768 and 39788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39768 and 39788, than apply into the LCM equation.

GCF(39768,39788) = 4
LCM(39768,39788) = ( 39768 × 39788) / 4
LCM(39768,39788) = 1582289184 / 4
LCM(39768,39788) = 395572296

Least Common Multiple (LCM) of 39768 and 39788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39768 and 39788. First we will calculate the prime factors of 39768 and 39788.

Prime Factorization of 39768

Prime Factorization of 39788

Now multiplying the highest exponent prime factors to calculate the LCM of 39768 and 39788.

LCM(39768,39788) = 2³ × 3¹ × 1657¹ × 7³ × 29¹
LCM(39768,39788) = 395572296