What is the Least Common Multiple of 23914 and 23920?

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 23914 and 23920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23914 and 23920, than apply into the LCM equation.

GCF(23914,23920) = 2
LCM(23914,23920) = ( 23914 × 23920) / 2
LCM(23914,23920) = 572022880 / 2
LCM(23914,23920) = 286011440

Least Common Multiple (LCM) of 23914 and 23920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23914 and 23920. First we will calculate the prime factors of 23914 and 23920.

Prime Factorization of 23914

Prime Factorization of 23920

Now multiplying the highest exponent prime factors to calculate the LCM of 23914 and 23920.

LCM(23914,23920) = 2⁴ × 11¹ × 1087¹ × 5¹ × 13¹ × 23¹
LCM(23914,23920) = 286011440