What is the Least Common Multiple of 37185 and 37202?

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 37202 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 37202, than apply into the LCM equation.

GCF(37185,37202) = 1
LCM(37185,37202) = ( 37185 × 37202) / 1
LCM(37185,37202) = 1383356370 / 1
LCM(37185,37202) = 1383356370

Least Common Multiple (LCM) of 37185 and 37202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37185 and 37202. First we will calculate the prime factors of 37185 and 37202.

Prime Factorization of 37185

Prime Factorization of 37202

Now multiplying the highest exponent prime factors to calculate the LCM of 37185 and 37202.

LCM(37185,37202) = 3¹ × 5¹ × 37¹ × 67¹ × 2¹ × 11¹ × 19¹ × 89¹
LCM(37185,37202) = 1383356370