What is the Least Common Multiple of 37099 and 37103?

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 37099 and 37103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37099 and 37103, than apply into the LCM equation.

GCF(37099,37103) = 1
LCM(37099,37103) = ( 37099 × 37103) / 1
LCM(37099,37103) = 1376484197 / 1
LCM(37099,37103) = 1376484197

Least Common Multiple (LCM) of 37099 and 37103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37099 and 37103. First we will calculate the prime factors of 37099 and 37103.

Prime Factorization of 37099

Prime Factorization of 37103

Now multiplying the highest exponent prime factors to calculate the LCM of 37099 and 37103.

LCM(37099,37103) = 23¹ × 1613¹ × 11¹ × 3373¹
LCM(37099,37103) = 1376484197