What is the Least Common Multiple of 18639 and 18657?

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 18639 and 18657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18639 and 18657, than apply into the LCM equation.

GCF(18639,18657) = 9
LCM(18639,18657) = ( 18639 × 18657) / 9
LCM(18639,18657) = 347747823 / 9
LCM(18639,18657) = 38638647

Least Common Multiple (LCM) of 18639 and 18657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18639 and 18657. First we will calculate the prime factors of 18639 and 18657.

Prime Factorization of 18639

Prime Factorization of 18657

Now multiplying the highest exponent prime factors to calculate the LCM of 18639 and 18657.

LCM(18639,18657) = 3³ × 19¹ × 109¹ × 691¹
LCM(18639,18657) = 38638647