What is the Least Common Multiple of 15024 and 15042?

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 15024 and 15042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15024 and 15042, than apply into the LCM equation.

GCF(15024,15042) = 6
LCM(15024,15042) = ( 15024 × 15042) / 6
LCM(15024,15042) = 225991008 / 6
LCM(15024,15042) = 37665168

Least Common Multiple (LCM) of 15024 and 15042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15024 and 15042. First we will calculate the prime factors of 15024 and 15042.

Prime Factorization of 15024

Prime Factorization of 15042

Now multiplying the highest exponent prime factors to calculate the LCM of 15024 and 15042.

LCM(15024,15042) = 2⁴ × 3¹ × 313¹ × 23¹ × 109¹
LCM(15024,15042) = 37665168