GCF and LCM Calculator Logo

What is the Least Common Multiple of 55397 and 55415?

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 55397 and 55415 is 3069824755.

LCM(55397,55415) = 3069824755

LCM Calculator and
and

Least Common Multiple of 55397 and 55415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55397 and 55415, than apply into the LCM equation.

GCF(55397,55415) = 1
LCM(55397,55415) = ( 55397 × 55415) / 1
LCM(55397,55415) = 3069824755 / 1
LCM(55397,55415) = 3069824755

Least Common Multiple (LCM) of 55397 and 55415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55397 and 55415. First we will calculate the prime factors of 55397 and 55415.

Prime Factorization of 55397

Prime factors of 55397 are 31, 1787. Prime factorization of 55397 in exponential form is:

55397 = 311 × 17871

Prime Factorization of 55415

Prime factors of 55415 are 5, 11083. Prime factorization of 55415 in exponential form is:

55415 = 51 × 110831

Now multiplying the highest exponent prime factors to calculate the LCM of 55397 and 55415.

LCM(55397,55415) = 311 × 17871 × 51 × 110831
LCM(55397,55415) = 3069824755