What is the Least Common Multiple of 48405 and 48423?

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 48405 and 48423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48405 and 48423, than apply into the LCM equation.

GCF(48405,48423) = 3
LCM(48405,48423) = ( 48405 × 48423) / 3
LCM(48405,48423) = 2343915315 / 3
LCM(48405,48423) = 781305105

Least Common Multiple (LCM) of 48405 and 48423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48405 and 48423. First we will calculate the prime factors of 48405 and 48423.

Prime Factorization of 48405

Prime Factorization of 48423

Now multiplying the highest exponent prime factors to calculate the LCM of 48405 and 48423.

LCM(48405,48423) = 3¹ × 5¹ × 7¹ × 461¹ × 16141¹
LCM(48405,48423) = 781305105