What is the Least Common Multiple of 36504 and 36516?

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 36504 and 36516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36504 and 36516, than apply into the LCM equation.

GCF(36504,36516) = 12
LCM(36504,36516) = ( 36504 × 36516) / 12
LCM(36504,36516) = 1332980064 / 12
LCM(36504,36516) = 111081672

Least Common Multiple (LCM) of 36504 and 36516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36504 and 36516. First we will calculate the prime factors of 36504 and 36516.

Prime Factorization of 36504

Prime Factorization of 36516

Now multiplying the highest exponent prime factors to calculate the LCM of 36504 and 36516.

LCM(36504,36516) = 2³ × 3³ × 13² × 17¹ × 179¹
LCM(36504,36516) = 111081672