What is the Least Common Multiple of 7566 and 7575?

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 7566 and 7575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7566 and 7575, than apply into the LCM equation.

GCF(7566,7575) = 3
LCM(7566,7575) = ( 7566 × 7575) / 3
LCM(7566,7575) = 57312450 / 3
LCM(7566,7575) = 19104150

Least Common Multiple (LCM) of 7566 and 7575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7566 and 7575. First we will calculate the prime factors of 7566 and 7575.

Prime Factorization of 7566

Prime Factorization of 7575

Now multiplying the highest exponent prime factors to calculate the LCM of 7566 and 7575.

LCM(7566,7575) = 2¹ × 3¹ × 13¹ × 97¹ × 5² × 101¹
LCM(7566,7575) = 19104150