GCF and LCM Calculator Logo

What is the Least Common Multiple of 55398 and 55407?

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 55398 and 55407 is 1023145662.

LCM(55398,55407) = 1023145662

LCM Calculator and
and

Least Common Multiple of 55398 and 55407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55398 and 55407, than apply into the LCM equation.

GCF(55398,55407) = 3
LCM(55398,55407) = ( 55398 × 55407) / 3
LCM(55398,55407) = 3069436986 / 3
LCM(55398,55407) = 1023145662

Least Common Multiple (LCM) of 55398 and 55407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55398 and 55407. First we will calculate the prime factors of 55398 and 55407.

Prime Factorization of 55398

Prime factors of 55398 are 2, 3, 7, 1319. Prime factorization of 55398 in exponential form is:

55398 = 21 × 31 × 71 × 13191

Prime Factorization of 55407

Prime factors of 55407 are 3, 11, 23, 73. Prime factorization of 55407 in exponential form is:

55407 = 31 × 111 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 55398 and 55407.

LCM(55398,55407) = 21 × 31 × 71 × 13191 × 111 × 231 × 731
LCM(55398,55407) = 1023145662