What is the Least Common Multiple of 81010 and 81028?

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 81010 and 81028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81010 and 81028, than apply into the LCM equation.

GCF(81010,81028) = 2
LCM(81010,81028) = ( 81010 × 81028) / 2
LCM(81010,81028) = 6564078280 / 2
LCM(81010,81028) = 3282039140

Least Common Multiple (LCM) of 81010 and 81028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81010 and 81028. First we will calculate the prime factors of 81010 and 81028.

Prime Factorization of 81010

Prime Factorization of 81028

Now multiplying the highest exponent prime factors to calculate the LCM of 81010 and 81028.

LCM(81010,81028) = 2² × 5¹ × 8101¹ × 47¹ × 431¹
LCM(81010,81028) = 3282039140