What is the Least Common Multiple of 81444 and 81463?

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 81444 and 81463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81444 and 81463, than apply into the LCM equation.

GCF(81444,81463) = 1
LCM(81444,81463) = ( 81444 × 81463) / 1
LCM(81444,81463) = 6634672572 / 1
LCM(81444,81463) = 6634672572

Least Common Multiple (LCM) of 81444 and 81463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81444 and 81463. First we will calculate the prime factors of 81444 and 81463.

Prime Factorization of 81444

Prime Factorization of 81463

Now multiplying the highest exponent prime factors to calculate the LCM of 81444 and 81463.

LCM(81444,81463) = 2² × 3¹ × 11¹ × 617¹ × 81463¹
LCM(81444,81463) = 6634672572