What is the Least Common Multiple of 15036 and 15052?

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 15036 and 15052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15036 and 15052, than apply into the LCM equation.

GCF(15036,15052) = 4
LCM(15036,15052) = ( 15036 × 15052) / 4
LCM(15036,15052) = 226321872 / 4
LCM(15036,15052) = 56580468

Least Common Multiple (LCM) of 15036 and 15052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15036 and 15052. First we will calculate the prime factors of 15036 and 15052.

Prime Factorization of 15036

Prime Factorization of 15052

Now multiplying the highest exponent prime factors to calculate the LCM of 15036 and 15052.

LCM(15036,15052) = 2² × 3¹ × 7¹ × 179¹ × 53¹ × 71¹
LCM(15036,15052) = 56580468