GCF and LCM Calculator Logo

What is the Least Common Multiple of 37398 and 37403?

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 37398 and 37403 is 1398797394.

LCM(37398,37403) = 1398797394

LCM Calculator and
and

Least Common Multiple of 37398 and 37403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37398 and 37403, than apply into the LCM equation.

GCF(37398,37403) = 1
LCM(37398,37403) = ( 37398 × 37403) / 1
LCM(37398,37403) = 1398797394 / 1
LCM(37398,37403) = 1398797394

Least Common Multiple (LCM) of 37398 and 37403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37398 and 37403. First we will calculate the prime factors of 37398 and 37403.

Prime Factorization of 37398

Prime factors of 37398 are 2, 3, 23, 271. Prime factorization of 37398 in exponential form is:

37398 = 21 × 31 × 231 × 2711

Prime Factorization of 37403

Prime factors of 37403 are 113, 331. Prime factorization of 37403 in exponential form is:

37403 = 1131 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 37398 and 37403.

LCM(37398,37403) = 21 × 31 × 231 × 2711 × 1131 × 3311
LCM(37398,37403) = 1398797394