What is the Least Common Multiple of 7563 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 7563 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 7563 and 7578, than apply into the LCM equation.

GCF(7563,7578) = 3
LCM(7563,7578) = ( 7563 × 7578) / 3
LCM(7563,7578) = 57312414 / 3
LCM(7563,7578) = 19104138

Least Common Multiple (LCM) of 7563 and 7578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7563 and 7578. First we will calculate the prime factors of 7563 and 7578.

Prime Factorization of 7563

Prime Factorization of 7578

Now multiplying the highest exponent prime factors to calculate the LCM of 7563 and 7578.

LCM(7563,7578) = 3² × 2521¹ × 2¹ × 421¹
LCM(7563,7578) = 19104138