What is the Least Common Multiple of 45824 and 45838?

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 45824 and 45838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45824 and 45838, than apply into the LCM equation.

GCF(45824,45838) = 2
LCM(45824,45838) = ( 45824 × 45838) / 2
LCM(45824,45838) = 2100480512 / 2
LCM(45824,45838) = 1050240256

Least Common Multiple (LCM) of 45824 and 45838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45824 and 45838. First we will calculate the prime factors of 45824 and 45838.

Prime Factorization of 45824

Prime Factorization of 45838

Now multiplying the highest exponent prime factors to calculate the LCM of 45824 and 45838.

LCM(45824,45838) = 2⁸ × 179¹ × 13¹ × 41¹ × 43¹
LCM(45824,45838) = 1050240256