What is the Least Common Multiple of 81116 and 81123?

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 81116 and 81123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81116 and 81123, than apply into the LCM equation.

GCF(81116,81123) = 7
LCM(81116,81123) = ( 81116 × 81123) / 7
LCM(81116,81123) = 6580373268 / 7
LCM(81116,81123) = 940053324

Least Common Multiple (LCM) of 81116 and 81123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81116 and 81123. First we will calculate the prime factors of 81116 and 81123.

Prime Factorization of 81116

Prime Factorization of 81123

Now multiplying the highest exponent prime factors to calculate the LCM of 81116 and 81123.

LCM(81116,81123) = 2² × 7¹ × 2897¹ × 3¹ × 3863¹
LCM(81116,81123) = 940053324