What is the Least Common Multiple of 37185 and 37196?

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 37196 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 37196, than apply into the LCM equation.

GCF(37185,37196) = 1
LCM(37185,37196) = ( 37185 × 37196) / 1
LCM(37185,37196) = 1383133260 / 1
LCM(37185,37196) = 1383133260

Least Common Multiple (LCM) of 37185 and 37196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37185 and 37196. First we will calculate the prime factors of 37185 and 37196.

Prime Factorization of 37185

Prime Factorization of 37196

Now multiplying the highest exponent prime factors to calculate the LCM of 37185 and 37196.

LCM(37185,37196) = 3¹ × 5¹ × 37¹ × 67¹ × 2² × 17¹ × 547¹
LCM(37185,37196) = 1383133260