What is the Least Common Multiple of 24409 and 24426?

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 24409 and 24426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24409 and 24426, than apply into the LCM equation.

GCF(24409,24426) = 1
LCM(24409,24426) = ( 24409 × 24426) / 1
LCM(24409,24426) = 596214234 / 1
LCM(24409,24426) = 596214234

Least Common Multiple (LCM) of 24409 and 24426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24409 and 24426. First we will calculate the prime factors of 24409 and 24426.

Prime Factorization of 24409

Prime Factorization of 24426

Now multiplying the highest exponent prime factors to calculate the LCM of 24409 and 24426.

LCM(24409,24426) = 7¹ × 11¹ × 317¹ × 2¹ × 3² × 23¹ × 59¹
LCM(24409,24426) = 596214234