What is the Least Common Multiple of 81491 and 81506?

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 81491 and 81506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81491 and 81506, than apply into the LCM equation.

GCF(81491,81506) = 1
LCM(81491,81506) = ( 81491 × 81506) / 1
LCM(81491,81506) = 6642005446 / 1
LCM(81491,81506) = 6642005446

Least Common Multiple (LCM) of 81491 and 81506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81491 and 81506. First we will calculate the prime factors of 81491 and 81506.

Prime Factorization of 81491

Prime Factorization of 81506

Now multiplying the highest exponent prime factors to calculate the LCM of 81491 and 81506.

LCM(81491,81506) = 19¹ × 4289¹ × 2¹ × 83¹ × 491¹
LCM(81491,81506) = 6642005446