What is the Least Common Multiple of 81081 and 81101?

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 81081 and 81101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81081 and 81101, than apply into the LCM equation.

GCF(81081,81101) = 1
LCM(81081,81101) = ( 81081 × 81101) / 1
LCM(81081,81101) = 6575750181 / 1
LCM(81081,81101) = 6575750181

Least Common Multiple (LCM) of 81081 and 81101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81081 and 81101. First we will calculate the prime factors of 81081 and 81101.

Prime Factorization of 81081

Prime Factorization of 81101

Now multiplying the highest exponent prime factors to calculate the LCM of 81081 and 81101.

LCM(81081,81101) = 3⁴ × 7¹ × 11¹ × 13¹ × 81101¹
LCM(81081,81101) = 6575750181