What is the Least Common Multiple of 36774 and 36793?

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 36774 and 36793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36774 and 36793, than apply into the LCM equation.

GCF(36774,36793) = 1
LCM(36774,36793) = ( 36774 × 36793) / 1
LCM(36774,36793) = 1353025782 / 1
LCM(36774,36793) = 1353025782

Least Common Multiple (LCM) of 36774 and 36793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36774 and 36793. First we will calculate the prime factors of 36774 and 36793.

Prime Factorization of 36774

Prime Factorization of 36793

Now multiplying the highest exponent prime factors to calculate the LCM of 36774 and 36793.

LCM(36774,36793) = 2¹ × 3⁴ × 227¹ × 36793¹
LCM(36774,36793) = 1353025782