What is the Least Common Multiple of 23224 and 23240?

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 23224 and 23240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23224 and 23240, than apply into the LCM equation.

GCF(23224,23240) = 8
LCM(23224,23240) = ( 23224 × 23240) / 8
LCM(23224,23240) = 539725760 / 8
LCM(23224,23240) = 67465720

Least Common Multiple (LCM) of 23224 and 23240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23224 and 23240. First we will calculate the prime factors of 23224 and 23240.

Prime Factorization of 23224

Prime Factorization of 23240

Now multiplying the highest exponent prime factors to calculate the LCM of 23224 and 23240.

LCM(23224,23240) = 2³ × 2903¹ × 5¹ × 7¹ × 83¹
LCM(23224,23240) = 67465720