What is the Least Common Multiple of 45388 and 45397?

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 45388 and 45397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45388 and 45397, than apply into the LCM equation.

GCF(45388,45397) = 1
LCM(45388,45397) = ( 45388 × 45397) / 1
LCM(45388,45397) = 2060479036 / 1
LCM(45388,45397) = 2060479036

Least Common Multiple (LCM) of 45388 and 45397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45388 and 45397. First we will calculate the prime factors of 45388 and 45397.

Prime Factorization of 45388

Prime Factorization of 45397

Now multiplying the highest exponent prime factors to calculate the LCM of 45388 and 45397.

LCM(45388,45397) = 2² × 7¹ × 1621¹ × 11¹ × 4127¹
LCM(45388,45397) = 2060479036