GCF and LCM Calculator Logo

What is the Least Common Multiple of 54317 and 54324?

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 54317 and 54324 is 2950716708.

LCM(54317,54324) = 2950716708

LCM Calculator and
and

Least Common Multiple of 54317 and 54324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54317 and 54324, than apply into the LCM equation.

GCF(54317,54324) = 1
LCM(54317,54324) = ( 54317 × 54324) / 1
LCM(54317,54324) = 2950716708 / 1
LCM(54317,54324) = 2950716708

Least Common Multiple (LCM) of 54317 and 54324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54317 and 54324. First we will calculate the prime factors of 54317 and 54324.

Prime Factorization of 54317

Prime factors of 54317 are 29, 1873. Prime factorization of 54317 in exponential form is:

54317 = 291 × 18731

Prime Factorization of 54324

Prime factors of 54324 are 2, 3, 503. Prime factorization of 54324 in exponential form is:

54324 = 22 × 33 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 54317 and 54324.

LCM(54317,54324) = 291 × 18731 × 22 × 33 × 5031
LCM(54317,54324) = 2950716708