What is the Least Common Multiple of 80821 and 80837?

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 80821 and 80837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80821 and 80837, than apply into the LCM equation.

GCF(80821,80837) = 1
LCM(80821,80837) = ( 80821 × 80837) / 1
LCM(80821,80837) = 6533327177 / 1
LCM(80821,80837) = 6533327177

Least Common Multiple (LCM) of 80821 and 80837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80821 and 80837. First we will calculate the prime factors of 80821 and 80837.

Prime Factorization of 80821

Prime Factorization of 80837

Now multiplying the highest exponent prime factors to calculate the LCM of 80821 and 80837.

LCM(80821,80837) = 13¹ × 6217¹ × 229¹ × 353¹
LCM(80821,80837) = 6533327177