What is the Least Common Multiple of 24514 and 24534?

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 24534 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 24534, than apply into the LCM equation.

GCF(24514,24534) = 2
LCM(24514,24534) = ( 24514 × 24534) / 2
LCM(24514,24534) = 601426476 / 2
LCM(24514,24534) = 300713238

Least Common Multiple (LCM) of 24514 and 24534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24514 and 24534. First we will calculate the prime factors of 24514 and 24534.

Prime Factorization of 24514

Prime Factorization of 24534

Now multiplying the highest exponent prime factors to calculate the LCM of 24514 and 24534.

LCM(24514,24534) = 2¹ × 7¹ × 17¹ × 103¹ × 3² × 29¹ × 47¹
LCM(24514,24534) = 300713238