What is the Least Common Multiple of 81931 and 81947?

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 81931 and 81947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81931 and 81947, than apply into the LCM equation.

GCF(81931,81947) = 1
LCM(81931,81947) = ( 81931 × 81947) / 1
LCM(81931,81947) = 6713999657 / 1
LCM(81931,81947) = 6713999657

Least Common Multiple (LCM) of 81931 and 81947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81931 and 81947. First we will calculate the prime factors of 81931 and 81947.

Prime Factorization of 81931

Prime Factorization of 81947

Now multiplying the highest exponent prime factors to calculate the LCM of 81931 and 81947.

LCM(81931,81947) = 81931¹ × 19² × 227¹
LCM(81931,81947) = 6713999657