What is the Least Common Multiple of 81426 and 81432?

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 81426 and 81432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81426 and 81432, than apply into the LCM equation.

GCF(81426,81432) = 6
LCM(81426,81432) = ( 81426 × 81432) / 6
LCM(81426,81432) = 6630682032 / 6
LCM(81426,81432) = 1105113672

Least Common Multiple (LCM) of 81426 and 81432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81426 and 81432. First we will calculate the prime factors of 81426 and 81432.

Prime Factorization of 81426

Prime Factorization of 81432

Now multiplying the highest exponent prime factors to calculate the LCM of 81426 and 81432.

LCM(81426,81432) = 2³ × 3³ × 41¹ × 331¹ × 13¹ × 29¹
LCM(81426,81432) = 1105113672