What is the Least Common Multiple of 39780 and 39792?

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 39780 and 39792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39780 and 39792, than apply into the LCM equation.

GCF(39780,39792) = 12
LCM(39780,39792) = ( 39780 × 39792) / 12
LCM(39780,39792) = 1582925760 / 12
LCM(39780,39792) = 131910480

Least Common Multiple (LCM) of 39780 and 39792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39780 and 39792. First we will calculate the prime factors of 39780 and 39792.

Prime Factorization of 39780

Prime Factorization of 39792

Now multiplying the highest exponent prime factors to calculate the LCM of 39780 and 39792.

LCM(39780,39792) = 2⁴ × 3² × 5¹ × 13¹ × 17¹ × 829¹
LCM(39780,39792) = 131910480