What is the Least Common Multiple of 81810 and 81820?

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 81810 and 81820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81810 and 81820, than apply into the LCM equation.

GCF(81810,81820) = 10
LCM(81810,81820) = ( 81810 × 81820) / 10
LCM(81810,81820) = 6693694200 / 10
LCM(81810,81820) = 669369420

Least Common Multiple (LCM) of 81810 and 81820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81810 and 81820. First we will calculate the prime factors of 81810 and 81820.

Prime Factorization of 81810

Prime Factorization of 81820

Now multiplying the highest exponent prime factors to calculate the LCM of 81810 and 81820.

LCM(81810,81820) = 2² × 3⁴ × 5¹ × 101¹ × 4091¹
LCM(81810,81820) = 669369420