What is the Least Common Multiple of 23414 and 23425?

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 23414 and 23425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23414 and 23425, than apply into the LCM equation.

GCF(23414,23425) = 1
LCM(23414,23425) = ( 23414 × 23425) / 1
LCM(23414,23425) = 548472950 / 1
LCM(23414,23425) = 548472950

Least Common Multiple (LCM) of 23414 and 23425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23414 and 23425. First we will calculate the prime factors of 23414 and 23425.

Prime Factorization of 23414

Prime Factorization of 23425

Now multiplying the highest exponent prime factors to calculate the LCM of 23414 and 23425.

LCM(23414,23425) = 2¹ × 23¹ × 509¹ × 5² × 937¹
LCM(23414,23425) = 548472950