What is the Least Common Multiple of 18633 and 18651?

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 18633 and 18651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18633 and 18651, than apply into the LCM equation.

GCF(18633,18651) = 3
LCM(18633,18651) = ( 18633 × 18651) / 3
LCM(18633,18651) = 347524083 / 3
LCM(18633,18651) = 115841361

Least Common Multiple (LCM) of 18633 and 18651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18633 and 18651. First we will calculate the prime factors of 18633 and 18651.

Prime Factorization of 18633

Prime Factorization of 18651

Now multiplying the highest exponent prime factors to calculate the LCM of 18633 and 18651.

LCM(18633,18651) = 3¹ × 6211¹ × 6217¹
LCM(18633,18651) = 115841361