What is the Least Common Multiple of 36414 and 36423?

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 36414 and 36423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36414 and 36423, than apply into the LCM equation.

GCF(36414,36423) = 9
LCM(36414,36423) = ( 36414 × 36423) / 9
LCM(36414,36423) = 1326307122 / 9
LCM(36414,36423) = 147367458

Least Common Multiple (LCM) of 36414 and 36423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36414 and 36423. First we will calculate the prime factors of 36414 and 36423.

Prime Factorization of 36414

Prime Factorization of 36423

Now multiplying the highest exponent prime factors to calculate the LCM of 36414 and 36423.

LCM(36414,36423) = 2¹ × 3³ × 7¹ × 17² × 19¹ × 71¹
LCM(36414,36423) = 147367458