What is the Least Common Multiple of 13508 and 13516?

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 13508 and 13516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13508 and 13516, than apply into the LCM equation.

GCF(13508,13516) = 4
LCM(13508,13516) = ( 13508 × 13516) / 4
LCM(13508,13516) = 182574128 / 4
LCM(13508,13516) = 45643532

Least Common Multiple (LCM) of 13508 and 13516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13508 and 13516. First we will calculate the prime factors of 13508 and 13516.

Prime Factorization of 13508

Prime Factorization of 13516

Now multiplying the highest exponent prime factors to calculate the LCM of 13508 and 13516.

LCM(13508,13516) = 2² × 11¹ × 307¹ × 31¹ × 109¹
LCM(13508,13516) = 45643532