What is the Least Common Multiple of 39828 and 39836?

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 39828 and 39836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39828 and 39836, than apply into the LCM equation.

GCF(39828,39836) = 4
LCM(39828,39836) = ( 39828 × 39836) / 4
LCM(39828,39836) = 1586588208 / 4
LCM(39828,39836) = 396647052

Least Common Multiple (LCM) of 39828 and 39836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39828 and 39836. First we will calculate the prime factors of 39828 and 39836.

Prime Factorization of 39828

Prime Factorization of 39836

Now multiplying the highest exponent prime factors to calculate the LCM of 39828 and 39836.

LCM(39828,39836) = 2² × 3¹ × 3319¹ × 23¹ × 433¹
LCM(39828,39836) = 396647052