GCF and LCM Calculator Logo

What is the Least Common Multiple of 2403 and 2415?

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 2403 and 2415 is 1934415.

LCM(2403,2415) = 1934415

LCM Calculator and
and

Least Common Multiple of 2403 and 2415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2403 and 2415, than apply into the LCM equation.

GCF(2403,2415) = 3
LCM(2403,2415) = ( 2403 × 2415) / 3
LCM(2403,2415) = 5803245 / 3
LCM(2403,2415) = 1934415

Least Common Multiple (LCM) of 2403 and 2415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2403 and 2415. First we will calculate the prime factors of 2403 and 2415.

Prime Factorization of 2403

Prime factors of 2403 are 3, 89. Prime factorization of 2403 in exponential form is:

2403 = 33 × 891

Prime Factorization of 2415

Prime factors of 2415 are 3, 5, 7, 23. Prime factorization of 2415 in exponential form is:

2415 = 31 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2403 and 2415.

LCM(2403,2415) = 33 × 891 × 51 × 71 × 231
LCM(2403,2415) = 1934415