What is the Least Common Multiple of 18645 and 18654?

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 18645 and 18654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18645 and 18654, than apply into the LCM equation.

GCF(18645,18654) = 3
LCM(18645,18654) = ( 18645 × 18654) / 3
LCM(18645,18654) = 347803830 / 3
LCM(18645,18654) = 115934610

Least Common Multiple (LCM) of 18645 and 18654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18645 and 18654. First we will calculate the prime factors of 18645 and 18654.

Prime Factorization of 18645

Prime Factorization of 18654

Now multiplying the highest exponent prime factors to calculate the LCM of 18645 and 18654.

LCM(18645,18654) = 3¹ × 5¹ × 11¹ × 113¹ × 2¹ × 3109¹
LCM(18645,18654) = 115934610