What is the Least Common Multiple of 7561 and 7578?

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 7561 and 7578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7561 and 7578, than apply into the LCM equation.

GCF(7561,7578) = 1
LCM(7561,7578) = ( 7561 × 7578) / 1
LCM(7561,7578) = 57297258 / 1
LCM(7561,7578) = 57297258

Least Common Multiple (LCM) of 7561 and 7578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7561 and 7578. First we will calculate the prime factors of 7561 and 7578.

Prime Factorization of 7561

Prime Factorization of 7578

Now multiplying the highest exponent prime factors to calculate the LCM of 7561 and 7578.

LCM(7561,7578) = 7561¹ × 2¹ × 3² × 421¹
LCM(7561,7578) = 57297258