What is the Least Common Multiple of 24038 and 24058?

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 24038 and 24058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24038 and 24058, than apply into the LCM equation.

GCF(24038,24058) = 2
LCM(24038,24058) = ( 24038 × 24058) / 2
LCM(24038,24058) = 578306204 / 2
LCM(24038,24058) = 289153102

Least Common Multiple (LCM) of 24038 and 24058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24038 and 24058. First we will calculate the prime factors of 24038 and 24058.

Prime Factorization of 24038

Prime Factorization of 24058

Now multiplying the highest exponent prime factors to calculate the LCM of 24038 and 24058.

LCM(24038,24058) = 2¹ × 7¹ × 17¹ × 101¹ × 23¹ × 523¹
LCM(24038,24058) = 289153102