What is the Least Common Multiple of 37569 and 37575?

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 37569 and 37575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37569 and 37575, than apply into the LCM equation.

GCF(37569,37575) = 3
LCM(37569,37575) = ( 37569 × 37575) / 3
LCM(37569,37575) = 1411655175 / 3
LCM(37569,37575) = 470551725

Least Common Multiple (LCM) of 37569 and 37575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37569 and 37575. First we will calculate the prime factors of 37569 and 37575.

Prime Factorization of 37569

Prime Factorization of 37575

Now multiplying the highest exponent prime factors to calculate the LCM of 37569 and 37575.

LCM(37569,37575) = 3² × 7¹ × 1789¹ × 5² × 167¹
LCM(37569,37575) = 470551725