What is the Least Common Multiple of 81030 and 81043?

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 81030 and 81043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81030 and 81043, than apply into the LCM equation.

GCF(81030,81043) = 1
LCM(81030,81043) = ( 81030 × 81043) / 1
LCM(81030,81043) = 6566914290 / 1
LCM(81030,81043) = 6566914290

Least Common Multiple (LCM) of 81030 and 81043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81030 and 81043. First we will calculate the prime factors of 81030 and 81043.

Prime Factorization of 81030

Prime Factorization of 81043

Now multiplying the highest exponent prime factors to calculate the LCM of 81030 and 81043.

LCM(81030,81043) = 2¹ × 3¹ × 5¹ × 37¹ × 73¹ × 81043¹
LCM(81030,81043) = 6566914290