What is the Least Common Multiple of 37185 and 37205?

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 37185 and 37205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37185 and 37205, than apply into the LCM equation.

GCF(37185,37205) = 5
LCM(37185,37205) = ( 37185 × 37205) / 5
LCM(37185,37205) = 1383467925 / 5
LCM(37185,37205) = 276693585

Least Common Multiple (LCM) of 37185 and 37205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37185 and 37205. First we will calculate the prime factors of 37185 and 37205.

Prime Factorization of 37185

Prime Factorization of 37205

Now multiplying the highest exponent prime factors to calculate the LCM of 37185 and 37205.

LCM(37185,37205) = 3¹ × 5¹ × 37¹ × 67¹ × 7¹ × 1063¹
LCM(37185,37205) = 276693585