What is the Least Common Multiple of 7525 and 7544?

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 7525 and 7544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7525 and 7544, than apply into the LCM equation.

GCF(7525,7544) = 1
LCM(7525,7544) = ( 7525 × 7544) / 1
LCM(7525,7544) = 56768600 / 1
LCM(7525,7544) = 56768600

Least Common Multiple (LCM) of 7525 and 7544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7525 and 7544. First we will calculate the prime factors of 7525 and 7544.

Prime Factorization of 7525

Prime Factorization of 7544

Now multiplying the highest exponent prime factors to calculate the LCM of 7525 and 7544.

LCM(7525,7544) = 5² × 7¹ × 43¹ × 2³ × 23¹ × 41¹
LCM(7525,7544) = 56768600