What is the Least Common Multiple of 81780 and 81800?

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 81780 and 81800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81780 and 81800, than apply into the LCM equation.

GCF(81780,81800) = 20
LCM(81780,81800) = ( 81780 × 81800) / 20
LCM(81780,81800) = 6689604000 / 20
LCM(81780,81800) = 334480200

Least Common Multiple (LCM) of 81780 and 81800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81780 and 81800. First we will calculate the prime factors of 81780 and 81800.

Prime Factorization of 81780

Prime Factorization of 81800

Now multiplying the highest exponent prime factors to calculate the LCM of 81780 and 81800.

LCM(81780,81800) = 2³ × 3¹ × 5² × 29¹ × 47¹ × 409¹
LCM(81780,81800) = 334480200