What is the Least Common Multiple of 23458 and 23464?

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 23458 and 23464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23458 and 23464, than apply into the LCM equation.

GCF(23458,23464) = 2
LCM(23458,23464) = ( 23458 × 23464) / 2
LCM(23458,23464) = 550418512 / 2
LCM(23458,23464) = 275209256

Least Common Multiple (LCM) of 23458 and 23464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23458 and 23464. First we will calculate the prime factors of 23458 and 23464.

Prime Factorization of 23458

Prime Factorization of 23464

Now multiplying the highest exponent prime factors to calculate the LCM of 23458 and 23464.

LCM(23458,23464) = 2³ × 37¹ × 317¹ × 7¹ × 419¹
LCM(23458,23464) = 275209256