What is the Least Common Multiple of 18038 and 18052?

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 18038 and 18052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18038 and 18052, than apply into the LCM equation.

GCF(18038,18052) = 2
LCM(18038,18052) = ( 18038 × 18052) / 2
LCM(18038,18052) = 325621976 / 2
LCM(18038,18052) = 162810988

Least Common Multiple (LCM) of 18038 and 18052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18038 and 18052. First we will calculate the prime factors of 18038 and 18052.

Prime Factorization of 18038

Prime Factorization of 18052

Now multiplying the highest exponent prime factors to calculate the LCM of 18038 and 18052.

LCM(18038,18052) = 2² × 29¹ × 311¹ × 4513¹
LCM(18038,18052) = 162810988