What is the Least Common Multiple of 24869 and 24881?

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 24869 and 24881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24869 and 24881, than apply into the LCM equation.

GCF(24869,24881) = 1
LCM(24869,24881) = ( 24869 × 24881) / 1
LCM(24869,24881) = 618765589 / 1
LCM(24869,24881) = 618765589

Least Common Multiple (LCM) of 24869 and 24881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24869 and 24881. First we will calculate the prime factors of 24869 and 24881.

Prime Factorization of 24869

Prime Factorization of 24881

Now multiplying the highest exponent prime factors to calculate the LCM of 24869 and 24881.

LCM(24869,24881) = 13¹ × 1913¹ × 139¹ × 179¹
LCM(24869,24881) = 618765589