What is the Least Common Multiple of 18756 and 18774?

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 18756 and 18774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18756 and 18774, than apply into the LCM equation.

GCF(18756,18774) = 18
LCM(18756,18774) = ( 18756 × 18774) / 18
LCM(18756,18774) = 352125144 / 18
LCM(18756,18774) = 19562508

Least Common Multiple (LCM) of 18756 and 18774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18756 and 18774. First we will calculate the prime factors of 18756 and 18774.

Prime Factorization of 18756

Prime Factorization of 18774

Now multiplying the highest exponent prime factors to calculate the LCM of 18756 and 18774.

LCM(18756,18774) = 2² × 3² × 521¹ × 7¹ × 149¹
LCM(18756,18774) = 19562508