What is the Least Common Multiple of 15508 and 15526?

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 15508 and 15526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15508 and 15526, than apply into the LCM equation.

GCF(15508,15526) = 2
LCM(15508,15526) = ( 15508 × 15526) / 2
LCM(15508,15526) = 240777208 / 2
LCM(15508,15526) = 120388604

Least Common Multiple (LCM) of 15508 and 15526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15508 and 15526. First we will calculate the prime factors of 15508 and 15526.

Prime Factorization of 15508

Prime Factorization of 15526

Now multiplying the highest exponent prime factors to calculate the LCM of 15508 and 15526.

LCM(15508,15526) = 2² × 3877¹ × 7¹ × 1109¹
LCM(15508,15526) = 120388604