What is the Least Common Multiple of 81990 and 81999?

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 81990 and 81999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81990 and 81999, than apply into the LCM equation.

GCF(81990,81999) = 9
LCM(81990,81999) = ( 81990 × 81999) / 9
LCM(81990,81999) = 6723098010 / 9
LCM(81990,81999) = 747010890

Least Common Multiple (LCM) of 81990 and 81999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81990 and 81999. First we will calculate the prime factors of 81990 and 81999.

Prime Factorization of 81990

Prime Factorization of 81999

Now multiplying the highest exponent prime factors to calculate the LCM of 81990 and 81999.

LCM(81990,81999) = 2¹ × 3³ × 5¹ × 911¹ × 3037¹
LCM(81990,81999) = 747010890