What is the Least Common Multiple of 18756 and 18767?

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 18767 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 18767, than apply into the LCM equation.

GCF(18756,18767) = 1
LCM(18756,18767) = ( 18756 × 18767) / 1
LCM(18756,18767) = 351993852 / 1
LCM(18756,18767) = 351993852

Least Common Multiple (LCM) of 18756 and 18767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18756 and 18767. First we will calculate the prime factors of 18756 and 18767.

Prime Factorization of 18756

Prime Factorization of 18767

Now multiplying the highest exponent prime factors to calculate the LCM of 18756 and 18767.

LCM(18756,18767) = 2² × 3² × 521¹ × 7² × 383¹
LCM(18756,18767) = 351993852