What is the Least Common Multiple of 36774 and 36780?

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 36780 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 36780, than apply into the LCM equation.

GCF(36774,36780) = 6
LCM(36774,36780) = ( 36774 × 36780) / 6
LCM(36774,36780) = 1352547720 / 6
LCM(36774,36780) = 225424620

Least Common Multiple (LCM) of 36774 and 36780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36774 and 36780. First we will calculate the prime factors of 36774 and 36780.

Prime Factorization of 36774

Prime Factorization of 36780

Now multiplying the highest exponent prime factors to calculate the LCM of 36774 and 36780.

LCM(36774,36780) = 2² × 3⁴ × 227¹ × 5¹ × 613¹
LCM(36774,36780) = 225424620