What is the Least Common Multiple of 37784 and 37794?

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 37784 and 37794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37784 and 37794, than apply into the LCM equation.

GCF(37784,37794) = 2
LCM(37784,37794) = ( 37784 × 37794) / 2
LCM(37784,37794) = 1428008496 / 2
LCM(37784,37794) = 714004248

Least Common Multiple (LCM) of 37784 and 37794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37784 and 37794. First we will calculate the prime factors of 37784 and 37794.

Prime Factorization of 37784

Prime Factorization of 37794

Now multiplying the highest exponent prime factors to calculate the LCM of 37784 and 37794.

LCM(37784,37794) = 2³ × 4723¹ × 3¹ × 6299¹
LCM(37784,37794) = 714004248