What is the Least Common Multiple of 37275 and 37293?

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 37293 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 37293, than apply into the LCM equation.

GCF(37275,37293) = 3
LCM(37275,37293) = ( 37275 × 37293) / 3
LCM(37275,37293) = 1390096575 / 3
LCM(37275,37293) = 463365525

Least Common Multiple (LCM) of 37275 and 37293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37275 and 37293. First we will calculate the prime factors of 37275 and 37293.

Prime Factorization of 37275

Prime Factorization of 37293

Now multiplying the highest exponent prime factors to calculate the LCM of 37275 and 37293.

LCM(37275,37293) = 3¹ × 5² × 7¹ × 71¹ × 31¹ × 401¹
LCM(37275,37293) = 463365525