What is the Least Common Multiple of 37791 and 37795?

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 37791 and 37795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37791 and 37795, than apply into the LCM equation.

GCF(37791,37795) = 1
LCM(37791,37795) = ( 37791 × 37795) / 1
LCM(37791,37795) = 1428310845 / 1
LCM(37791,37795) = 1428310845

Least Common Multiple (LCM) of 37791 and 37795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37791 and 37795. First we will calculate the prime factors of 37791 and 37795.

Prime Factorization of 37791

Prime Factorization of 37795

Now multiplying the highest exponent prime factors to calculate the LCM of 37791 and 37795.

LCM(37791,37795) = 3² × 13¹ × 17¹ × 19¹ × 5¹ × 7559¹
LCM(37791,37795) = 1428310845