What is the Least Common Multiple of 81414 and 81423?

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 81414 and 81423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81414 and 81423, than apply into the LCM equation.

GCF(81414,81423) = 9
LCM(81414,81423) = ( 81414 × 81423) / 9
LCM(81414,81423) = 6628972122 / 9
LCM(81414,81423) = 736552458

Least Common Multiple (LCM) of 81414 and 81423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81414 and 81423. First we will calculate the prime factors of 81414 and 81423.

Prime Factorization of 81414

Prime Factorization of 81423

Now multiplying the highest exponent prime factors to calculate the LCM of 81414 and 81423.

LCM(81414,81423) = 2¹ × 3² × 4523¹ × 83¹ × 109¹
LCM(81414,81423) = 736552458