What is the Least Common Multiple of 24064 and 24068?

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 24064 and 24068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24064 and 24068, than apply into the LCM equation.

GCF(24064,24068) = 4
LCM(24064,24068) = ( 24064 × 24068) / 4
LCM(24064,24068) = 579172352 / 4
LCM(24064,24068) = 144793088

Least Common Multiple (LCM) of 24064 and 24068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24064 and 24068. First we will calculate the prime factors of 24064 and 24068.

Prime Factorization of 24064

Prime Factorization of 24068

Now multiplying the highest exponent prime factors to calculate the LCM of 24064 and 24068.

LCM(24064,24068) = 2⁹ × 47¹ × 11¹ × 547¹
LCM(24064,24068) = 144793088