GCF and LCM Calculator Logo

What is the Least Common Multiple of 9405 and 9419?

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 (LCM) of 9405 and 9419 is 88585695.

LCM(9405,9419) = 88585695

LCM Calculator and
and

Least Common Multiple of 9405 and 9419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9405 and 9419, than apply into the LCM equation.

GCF(9405,9419) = 1
LCM(9405,9419) = ( 9405 × 9419) / 1
LCM(9405,9419) = 88585695 / 1
LCM(9405,9419) = 88585695

Least Common Multiple (LCM) of 9405 and 9419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9405 and 9419. First we will calculate the prime factors of 9405 and 9419.

Prime Factorization of 9405

Prime factors of 9405 are 3, 5, 11, 19. Prime factorization of 9405 in exponential form is:

9405 = 32 × 51 × 111 × 191

Prime Factorization of 9419

Prime factors of 9419 are 9419. Prime factorization of 9419 in exponential form is:

9419 = 94191

Now multiplying the highest exponent prime factors to calculate the LCM of 9405 and 9419.

LCM(9405,9419) = 32 × 51 × 111 × 191 × 94191
LCM(9405,9419) = 88585695