What is the Least Common Multiple of 24016 and 24030?

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 24016 and 24030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24016 and 24030, than apply into the LCM equation.

GCF(24016,24030) = 2
LCM(24016,24030) = ( 24016 × 24030) / 2
LCM(24016,24030) = 577104480 / 2
LCM(24016,24030) = 288552240

Least Common Multiple (LCM) of 24016 and 24030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24016 and 24030. First we will calculate the prime factors of 24016 and 24030.

Prime Factorization of 24016

Prime Factorization of 24030

Now multiplying the highest exponent prime factors to calculate the LCM of 24016 and 24030.

LCM(24016,24030) = 2⁴ × 19¹ × 79¹ × 3³ × 5¹ × 89¹
LCM(24016,24030) = 288552240