What is the Least Common Multiple of 23414 and 23423?

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 23423 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 23423, than apply into the LCM equation.

GCF(23414,23423) = 1
LCM(23414,23423) = ( 23414 × 23423) / 1
LCM(23414,23423) = 548426122 / 1
LCM(23414,23423) = 548426122

Least Common Multiple (LCM) of 23414 and 23423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23414 and 23423. First we will calculate the prime factors of 23414 and 23423.

Prime Factorization of 23414

Prime Factorization of 23423

Now multiplying the highest exponent prime factors to calculate the LCM of 23414 and 23423.

LCM(23414,23423) = 2¹ × 23¹ × 509¹ × 59¹ × 397¹
LCM(23414,23423) = 548426122