What is the Least Common Multiple of 37260 and 37275?

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 37260 and 37275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37260 and 37275, than apply into the LCM equation.

GCF(37260,37275) = 15
LCM(37260,37275) = ( 37260 × 37275) / 15
LCM(37260,37275) = 1388866500 / 15
LCM(37260,37275) = 92591100

Least Common Multiple (LCM) of 37260 and 37275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37260 and 37275. First we will calculate the prime factors of 37260 and 37275.

Prime Factorization of 37260

Prime Factorization of 37275

Now multiplying the highest exponent prime factors to calculate the LCM of 37260 and 37275.

LCM(37260,37275) = 2² × 3⁴ × 5² × 23¹ × 7¹ × 71¹
LCM(37260,37275) = 92591100