What is the Least Common Multiple of 81018 and 81037?

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 81037 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 81037, than apply into the LCM equation.

GCF(81018,81037) = 1
LCM(81018,81037) = ( 81018 × 81037) / 1
LCM(81018,81037) = 6565455666 / 1
LCM(81018,81037) = 6565455666

Least Common Multiple (LCM) of 81018 and 81037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81018 and 81037. First we will calculate the prime factors of 81018 and 81037.

Prime Factorization of 81018

Prime Factorization of 81037

Now multiplying the highest exponent prime factors to calculate the LCM of 81018 and 81037.

LCM(81018,81037) = 2¹ × 3² × 7¹ × 643¹ × 11¹ × 53¹ × 139¹
LCM(81018,81037) = 6565455666