What is the Least Common Multiple of 79806 and 79821?

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 79806 and 79821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79806 and 79821, than apply into the LCM equation.

GCF(79806,79821) = 3
LCM(79806,79821) = ( 79806 × 79821) / 3
LCM(79806,79821) = 6370194726 / 3
LCM(79806,79821) = 2123398242

Least Common Multiple (LCM) of 79806 and 79821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79806 and 79821. First we will calculate the prime factors of 79806 and 79821.

Prime Factorization of 79806

Prime Factorization of 79821

Now multiplying the highest exponent prime factors to calculate the LCM of 79806 and 79821.

LCM(79806,79821) = 2¹ × 3² × 47¹ × 283¹ × 7² × 181¹
LCM(79806,79821) = 2123398242