What is the Least Common Multiple of 23458 and 23470?

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 23470 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 23470, than apply into the LCM equation.

GCF(23458,23470) = 2
LCM(23458,23470) = ( 23458 × 23470) / 2
LCM(23458,23470) = 550559260 / 2
LCM(23458,23470) = 275279630

Least Common Multiple (LCM) of 23458 and 23470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23458 and 23470. First we will calculate the prime factors of 23458 and 23470.

Prime Factorization of 23458

Prime Factorization of 23470

Now multiplying the highest exponent prime factors to calculate the LCM of 23458 and 23470.

LCM(23458,23470) = 2¹ × 37¹ × 317¹ × 5¹ × 2347¹
LCM(23458,23470) = 275279630