What is the Least Common Multiple of 37794 and 37798?

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 37794 and 37798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37794 and 37798, than apply into the LCM equation.

GCF(37794,37798) = 2
LCM(37794,37798) = ( 37794 × 37798) / 2
LCM(37794,37798) = 1428537612 / 2
LCM(37794,37798) = 714268806

Least Common Multiple (LCM) of 37794 and 37798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37794 and 37798. First we will calculate the prime factors of 37794 and 37798.

Prime Factorization of 37794

Prime Factorization of 37798

Now multiplying the highest exponent prime factors to calculate the LCM of 37794 and 37798.

LCM(37794,37798) = 2¹ × 3¹ × 6299¹ × 18899¹
LCM(37794,37798) = 714268806