What is the Least Common Multiple of 37593 and 37603?

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 37593 and 37603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37593 and 37603, than apply into the LCM equation.

GCF(37593,37603) = 1
LCM(37593,37603) = ( 37593 × 37603) / 1
LCM(37593,37603) = 1413609579 / 1
LCM(37593,37603) = 1413609579

Least Common Multiple (LCM) of 37593 and 37603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37593 and 37603. First we will calculate the prime factors of 37593 and 37603.

Prime Factorization of 37593

Prime Factorization of 37603

Now multiplying the highest exponent prime factors to calculate the LCM of 37593 and 37603.

LCM(37593,37603) = 3² × 4177¹ × 31¹ × 1213¹
LCM(37593,37603) = 1413609579