What is the Least Common Multiple of 18678 and 18692?

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 18678 and 18692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18678 and 18692, than apply into the LCM equation.

GCF(18678,18692) = 2
LCM(18678,18692) = ( 18678 × 18692) / 2
LCM(18678,18692) = 349129176 / 2
LCM(18678,18692) = 174564588

Least Common Multiple (LCM) of 18678 and 18692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18678 and 18692. First we will calculate the prime factors of 18678 and 18692.

Prime Factorization of 18678

Prime Factorization of 18692

Now multiplying the highest exponent prime factors to calculate the LCM of 18678 and 18692.

LCM(18678,18692) = 2² × 3¹ × 11¹ × 283¹ × 4673¹
LCM(18678,18692) = 174564588