What is the Least Common Multiple of 23426 and 23440?

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 23426 and 23440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23426 and 23440, than apply into the LCM equation.

GCF(23426,23440) = 2
LCM(23426,23440) = ( 23426 × 23440) / 2
LCM(23426,23440) = 549105440 / 2
LCM(23426,23440) = 274552720

Least Common Multiple (LCM) of 23426 and 23440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23426 and 23440. First we will calculate the prime factors of 23426 and 23440.

Prime Factorization of 23426

Prime Factorization of 23440

Now multiplying the highest exponent prime factors to calculate the LCM of 23426 and 23440.

LCM(23426,23440) = 2⁴ × 13¹ × 17¹ × 53¹ × 5¹ × 293¹
LCM(23426,23440) = 274552720