What is the Least Common Multiple of 81018 and 81023?

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 81018 and 81023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81018 and 81023, than apply into the LCM equation.

GCF(81018,81023) = 1
LCM(81018,81023) = ( 81018 × 81023) / 1
LCM(81018,81023) = 6564321414 / 1
LCM(81018,81023) = 6564321414

Least Common Multiple (LCM) of 81018 and 81023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81018 and 81023. First we will calculate the prime factors of 81018 and 81023.

Prime Factorization of 81018

Prime Factorization of 81023

Now multiplying the highest exponent prime factors to calculate the LCM of 81018 and 81023.

LCM(81018,81023) = 2¹ × 3² × 7¹ × 643¹ × 81023¹
LCM(81018,81023) = 6564321414