What is the Least Common Multiple of 23440 and 23458?

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 23440 and 23458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23440 and 23458, than apply into the LCM equation.

GCF(23440,23458) = 2
LCM(23440,23458) = ( 23440 × 23458) / 2
LCM(23440,23458) = 549855520 / 2
LCM(23440,23458) = 274927760

Least Common Multiple (LCM) of 23440 and 23458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23440 and 23458. First we will calculate the prime factors of 23440 and 23458.

Prime Factorization of 23440

Prime Factorization of 23458

Now multiplying the highest exponent prime factors to calculate the LCM of 23440 and 23458.

LCM(23440,23458) = 2⁴ × 5¹ × 293¹ × 37¹ × 317¹
LCM(23440,23458) = 274927760