What is the Least Common Multiple of 39774 and 39793?

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 39774 and 39793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39774 and 39793, than apply into the LCM equation.

GCF(39774,39793) = 1
LCM(39774,39793) = ( 39774 × 39793) / 1
LCM(39774,39793) = 1582726782 / 1
LCM(39774,39793) = 1582726782

Least Common Multiple (LCM) of 39774 and 39793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39774 and 39793. First we will calculate the prime factors of 39774 and 39793.

Prime Factorization of 39774

Prime Factorization of 39793

Now multiplying the highest exponent prime factors to calculate the LCM of 39774 and 39793.

LCM(39774,39793) = 2¹ × 3¹ × 7¹ × 947¹ × 13¹ × 3061¹
LCM(39774,39793) = 1582726782