What is the Least Common Multiple of 81028 and 81046?

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 81028 and 81046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81028 and 81046, than apply into the LCM equation.

GCF(81028,81046) = 2
LCM(81028,81046) = ( 81028 × 81046) / 2
LCM(81028,81046) = 6566995288 / 2
LCM(81028,81046) = 3283497644

Least Common Multiple (LCM) of 81028 and 81046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81028 and 81046. First we will calculate the prime factors of 81028 and 81046.

Prime Factorization of 81028

Prime Factorization of 81046

Now multiplying the highest exponent prime factors to calculate the LCM of 81028 and 81046.

LCM(81028,81046) = 2² × 47¹ × 431¹ × 7² × 827¹
LCM(81028,81046) = 3283497644