What is the Least Common Multiple of 37786 and 37793?

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 37786 and 37793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37786 and 37793, than apply into the LCM equation.

GCF(37786,37793) = 7
LCM(37786,37793) = ( 37786 × 37793) / 7
LCM(37786,37793) = 1428046298 / 7
LCM(37786,37793) = 204006614

Least Common Multiple (LCM) of 37786 and 37793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37786 and 37793. First we will calculate the prime factors of 37786 and 37793.

Prime Factorization of 37786

Prime Factorization of 37793

Now multiplying the highest exponent prime factors to calculate the LCM of 37786 and 37793.

LCM(37786,37793) = 2¹ × 7¹ × 2699¹ × 5399¹
LCM(37786,37793) = 204006614