What is the Least Common Multiple of 7544 and 7562?

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 7544 and 7562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7544 and 7562, than apply into the LCM equation.

GCF(7544,7562) = 2
LCM(7544,7562) = ( 7544 × 7562) / 2
LCM(7544,7562) = 57047728 / 2
LCM(7544,7562) = 28523864

Least Common Multiple (LCM) of 7544 and 7562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7544 and 7562. First we will calculate the prime factors of 7544 and 7562.

Prime Factorization of 7544

Prime Factorization of 7562

Now multiplying the highest exponent prime factors to calculate the LCM of 7544 and 7562.

LCM(7544,7562) = 2³ × 23¹ × 41¹ × 19¹ × 199¹
LCM(7544,7562) = 28523864