What is the Least Common Multiple of 36774 and 36779?

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 36779 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 36779, than apply into the LCM equation.

GCF(36774,36779) = 1
LCM(36774,36779) = ( 36774 × 36779) / 1
LCM(36774,36779) = 1352510946 / 1
LCM(36774,36779) = 1352510946

Least Common Multiple (LCM) of 36774 and 36779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36774 and 36779. First we will calculate the prime factors of 36774 and 36779.

Prime Factorization of 36774

Prime Factorization of 36779

Now multiplying the highest exponent prime factors to calculate the LCM of 36774 and 36779.

LCM(36774,36779) = 2¹ × 3⁴ × 227¹ × 36779¹
LCM(36774,36779) = 1352510946