What is the Least Common Multiple of 37245 and 37260?

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 37245 and 37260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37245 and 37260, than apply into the LCM equation.

GCF(37245,37260) = 15
LCM(37245,37260) = ( 37245 × 37260) / 15
LCM(37245,37260) = 1387748700 / 15
LCM(37245,37260) = 92516580

Least Common Multiple (LCM) of 37245 and 37260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37245 and 37260. First we will calculate the prime factors of 37245 and 37260.

Prime Factorization of 37245

Prime Factorization of 37260

Now multiplying the highest exponent prime factors to calculate the LCM of 37245 and 37260.

LCM(37245,37260) = 3⁴ × 5¹ × 13¹ × 191¹ × 2² × 23¹
LCM(37245,37260) = 92516580