What is the Least Common Multiple of 18356 and 18374?

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 18356 and 18374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18356 and 18374, than apply into the LCM equation.

GCF(18356,18374) = 2
LCM(18356,18374) = ( 18356 × 18374) / 2
LCM(18356,18374) = 337273144 / 2
LCM(18356,18374) = 168636572

Least Common Multiple (LCM) of 18356 and 18374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18356 and 18374. First we will calculate the prime factors of 18356 and 18374.

Prime Factorization of 18356

Prime Factorization of 18374

Now multiplying the highest exponent prime factors to calculate the LCM of 18356 and 18374.

LCM(18356,18374) = 2² × 13¹ × 353¹ × 9187¹
LCM(18356,18374) = 168636572