What is the Least Common Multiple of 37783 and 37802?

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 37783 and 37802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37783 and 37802, than apply into the LCM equation.

GCF(37783,37802) = 1
LCM(37783,37802) = ( 37783 × 37802) / 1
LCM(37783,37802) = 1428272966 / 1
LCM(37783,37802) = 1428272966

Least Common Multiple (LCM) of 37783 and 37802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37783 and 37802. First we will calculate the prime factors of 37783 and 37802.

Prime Factorization of 37783

Prime Factorization of 37802

Now multiplying the highest exponent prime factors to calculate the LCM of 37783 and 37802.

LCM(37783,37802) = 37783¹ × 2¹ × 41¹ × 461¹
LCM(37783,37802) = 1428272966