What is the Least Common Multiple of 79821 and 79839?

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 79821 and 79839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79821 and 79839, than apply into the LCM equation.

GCF(79821,79839) = 9
LCM(79821,79839) = ( 79821 × 79839) / 9
LCM(79821,79839) = 6372828819 / 9
LCM(79821,79839) = 708092091

Least Common Multiple (LCM) of 79821 and 79839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79821 and 79839. First we will calculate the prime factors of 79821 and 79839.

Prime Factorization of 79821

Prime Factorization of 79839

Now multiplying the highest exponent prime factors to calculate the LCM of 79821 and 79839.

LCM(79821,79839) = 3³ × 7² × 181¹ × 2957¹
LCM(79821,79839) = 708092091