What is the Least Common Multiple of 37274 and 37281?

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 37274 and 37281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37274 and 37281, than apply into the LCM equation.

GCF(37274,37281) = 1
LCM(37274,37281) = ( 37274 × 37281) / 1
LCM(37274,37281) = 1389611994 / 1
LCM(37274,37281) = 1389611994

Least Common Multiple (LCM) of 37274 and 37281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37274 and 37281. First we will calculate the prime factors of 37274 and 37281.

Prime Factorization of 37274

Prime Factorization of 37281

Now multiplying the highest exponent prime factors to calculate the LCM of 37274 and 37281.

LCM(37274,37281) = 2¹ × 18637¹ × 3¹ × 17² × 43¹
LCM(37274,37281) = 1389611994