What is the Least Common Multiple of 37389 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 of 37389 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 37389 and 37403, than apply into the LCM equation.

GCF(37389,37403) = 1
LCM(37389,37403) = ( 37389 × 37403) / 1
LCM(37389,37403) = 1398460767 / 1
LCM(37389,37403) = 1398460767

Least Common Multiple (LCM) of 37389 and 37403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37389 and 37403. First we will calculate the prime factors of 37389 and 37403.

Prime Factorization of 37389

Prime Factorization of 37403

Now multiplying the highest exponent prime factors to calculate the LCM of 37389 and 37403.

LCM(37389,37403) = 3¹ × 11² × 103¹ × 113¹ × 331¹
LCM(37389,37403) = 1398460767