What is the Least Common Multiple of 24514 and 24527?

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 24514 and 24527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24514 and 24527, than apply into the LCM equation.

GCF(24514,24527) = 1
LCM(24514,24527) = ( 24514 × 24527) / 1
LCM(24514,24527) = 601254878 / 1
LCM(24514,24527) = 601254878

Least Common Multiple (LCM) of 24514 and 24527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24514 and 24527. First we will calculate the prime factors of 24514 and 24527.

Prime Factorization of 24514

Prime Factorization of 24527

Now multiplying the highest exponent prime factors to calculate the LCM of 24514 and 24527.

LCM(24514,24527) = 2¹ × 7¹ × 17¹ × 103¹ × 24527¹
LCM(24514,24527) = 601254878