What is the Least Common Multiple of 7533 and 7547?

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 7533 and 7547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7533 and 7547, than apply into the LCM equation.

GCF(7533,7547) = 1
LCM(7533,7547) = ( 7533 × 7547) / 1
LCM(7533,7547) = 56851551 / 1
LCM(7533,7547) = 56851551

Least Common Multiple (LCM) of 7533 and 7547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7533 and 7547. First we will calculate the prime factors of 7533 and 7547.

Prime Factorization of 7533

Prime Factorization of 7547

Now multiplying the highest exponent prime factors to calculate the LCM of 7533 and 7547.

LCM(7533,7547) = 3⁵ × 31¹ × 7547¹
LCM(7533,7547) = 56851551