What is the Least Common Multiple of 23978 and 23984?

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 23978 and 23984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23978 and 23984, than apply into the LCM equation.

GCF(23978,23984) = 2
LCM(23978,23984) = ( 23978 × 23984) / 2
LCM(23978,23984) = 575088352 / 2
LCM(23978,23984) = 287544176

Least Common Multiple (LCM) of 23978 and 23984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23978 and 23984. First we will calculate the prime factors of 23978 and 23984.

Prime Factorization of 23978

Prime Factorization of 23984

Now multiplying the highest exponent prime factors to calculate the LCM of 23978 and 23984.

LCM(23978,23984) = 2⁴ × 19¹ × 631¹ × 1499¹
LCM(23978,23984) = 287544176