What is the Least Common Multiple of 81013 and 81029?

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 81013 and 81029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81013 and 81029, than apply into the LCM equation.

GCF(81013,81029) = 1
LCM(81013,81029) = ( 81013 × 81029) / 1
LCM(81013,81029) = 6564402377 / 1
LCM(81013,81029) = 6564402377

Least Common Multiple (LCM) of 81013 and 81029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81013 and 81029. First we will calculate the prime factors of 81013 and 81029.

Prime Factorization of 81013

Prime Factorization of 81029

Now multiplying the highest exponent prime factors to calculate the LCM of 81013 and 81029.

LCM(81013,81029) = 81013¹ × 13¹ × 23¹ × 271¹
LCM(81013,81029) = 6564402377