What is the Least Common Multiple of 23464 and 23472?

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 23464 and 23472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23464 and 23472, than apply into the LCM equation.

GCF(23464,23472) = 8
LCM(23464,23472) = ( 23464 × 23472) / 8
LCM(23464,23472) = 550747008 / 8
LCM(23464,23472) = 68843376

Least Common Multiple (LCM) of 23464 and 23472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23464 and 23472. First we will calculate the prime factors of 23464 and 23472.

Prime Factorization of 23464

Prime Factorization of 23472

Now multiplying the highest exponent prime factors to calculate the LCM of 23464 and 23472.

LCM(23464,23472) = 2⁴ × 7¹ × 419¹ × 3² × 163¹
LCM(23464,23472) = 68843376