What is the Least Common Multiple of 24101 and 24107?

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 24101 and 24107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24101 and 24107, than apply into the LCM equation.

GCF(24101,24107) = 1
LCM(24101,24107) = ( 24101 × 24107) / 1
LCM(24101,24107) = 581002807 / 1
LCM(24101,24107) = 581002807

Least Common Multiple (LCM) of 24101 and 24107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24101 and 24107. First we will calculate the prime factors of 24101 and 24107.

Prime Factorization of 24101

Prime Factorization of 24107

Now multiplying the highest exponent prime factors to calculate the LCM of 24101 and 24107.

LCM(24101,24107) = 7¹ × 11¹ × 313¹ × 24107¹
LCM(24101,24107) = 581002807