What is the Least Common Multiple of 39816 and 39829?

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 39816 and 39829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39816 and 39829, than apply into the LCM equation.

GCF(39816,39829) = 1
LCM(39816,39829) = ( 39816 × 39829) / 1
LCM(39816,39829) = 1585831464 / 1
LCM(39816,39829) = 1585831464

Least Common Multiple (LCM) of 39816 and 39829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39816 and 39829. First we will calculate the prime factors of 39816 and 39829.

Prime Factorization of 39816

Prime Factorization of 39829

Now multiplying the highest exponent prime factors to calculate the LCM of 39816 and 39829.

LCM(39816,39829) = 2³ × 3² × 7¹ × 79¹ × 39829¹
LCM(39816,39829) = 1585831464