What is the Least Common Multiple of 24110 and 24122?

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 24110 and 24122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24110 and 24122, than apply into the LCM equation.

GCF(24110,24122) = 2
LCM(24110,24122) = ( 24110 × 24122) / 2
LCM(24110,24122) = 581581420 / 2
LCM(24110,24122) = 290790710

Least Common Multiple (LCM) of 24110 and 24122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24110 and 24122. First we will calculate the prime factors of 24110 and 24122.

Prime Factorization of 24110

Prime Factorization of 24122

Now multiplying the highest exponent prime factors to calculate the LCM of 24110 and 24122.

LCM(24110,24122) = 2¹ × 5¹ × 2411¹ × 7¹ × 1723¹
LCM(24110,24122) = 290790710