What is the Least Common Multiple of 37275 and 37282?

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 37275 and 37282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37275 and 37282, than apply into the LCM equation.

GCF(37275,37282) = 7
LCM(37275,37282) = ( 37275 × 37282) / 7
LCM(37275,37282) = 1389686550 / 7
LCM(37275,37282) = 198526650

Least Common Multiple (LCM) of 37275 and 37282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37275 and 37282. First we will calculate the prime factors of 37275 and 37282.

Prime Factorization of 37275

Prime Factorization of 37282

Now multiplying the highest exponent prime factors to calculate the LCM of 37275 and 37282.

LCM(37275,37282) = 3¹ × 5² × 7¹ × 71¹ × 2¹ × 2663¹
LCM(37275,37282) = 198526650