What is the Least Common Multiple of 39792 and 39812?

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 39792 and 39812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39792 and 39812, than apply into the LCM equation.

GCF(39792,39812) = 4
LCM(39792,39812) = ( 39792 × 39812) / 4
LCM(39792,39812) = 1584199104 / 4
LCM(39792,39812) = 396049776

Least Common Multiple (LCM) of 39792 and 39812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39792 and 39812. First we will calculate the prime factors of 39792 and 39812.

Prime Factorization of 39792

Prime Factorization of 39812

Now multiplying the highest exponent prime factors to calculate the LCM of 39792 and 39812.

LCM(39792,39812) = 2⁴ × 3¹ × 829¹ × 37¹ × 269¹
LCM(39792,39812) = 396049776