What is the Least Common Multiple of 7512 and 7526?

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 7512 and 7526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7512 and 7526, than apply into the LCM equation.

GCF(7512,7526) = 2
LCM(7512,7526) = ( 7512 × 7526) / 2
LCM(7512,7526) = 56535312 / 2
LCM(7512,7526) = 28267656

Least Common Multiple (LCM) of 7512 and 7526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7512 and 7526. First we will calculate the prime factors of 7512 and 7526.

Prime Factorization of 7512

Prime Factorization of 7526

Now multiplying the highest exponent prime factors to calculate the LCM of 7512 and 7526.

LCM(7512,7526) = 2³ × 3¹ × 313¹ × 53¹ × 71¹
LCM(7512,7526) = 28267656