What is the Least Common Multiple of 37281 and 37290?

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 37281 and 37290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37281 and 37290, than apply into the LCM equation.

GCF(37281,37290) = 3
LCM(37281,37290) = ( 37281 × 37290) / 3
LCM(37281,37290) = 1390208490 / 3
LCM(37281,37290) = 463402830

Least Common Multiple (LCM) of 37281 and 37290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37281 and 37290. First we will calculate the prime factors of 37281 and 37290.

Prime Factorization of 37281

Prime Factorization of 37290

Now multiplying the highest exponent prime factors to calculate the LCM of 37281 and 37290.

LCM(37281,37290) = 3¹ × 17² × 43¹ × 2¹ × 5¹ × 11¹ × 113¹
LCM(37281,37290) = 463402830