What is the Least Common Multiple of 39812 and 39828?

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 39812 and 39828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39812 and 39828, than apply into the LCM equation.

GCF(39812,39828) = 4
LCM(39812,39828) = ( 39812 × 39828) / 4
LCM(39812,39828) = 1585632336 / 4
LCM(39812,39828) = 396408084

Least Common Multiple (LCM) of 39812 and 39828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39812 and 39828. First we will calculate the prime factors of 39812 and 39828.

Prime Factorization of 39812

Prime Factorization of 39828

Now multiplying the highest exponent prime factors to calculate the LCM of 39812 and 39828.

LCM(39812,39828) = 2² × 37¹ × 269¹ × 3¹ × 3319¹
LCM(39812,39828) = 396408084