What is the Least Common Multiple of 13638 and 13654?

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 13638 and 13654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13638 and 13654, than apply into the LCM equation.

GCF(13638,13654) = 2
LCM(13638,13654) = ( 13638 × 13654) / 2
LCM(13638,13654) = 186213252 / 2
LCM(13638,13654) = 93106626

Least Common Multiple (LCM) of 13638 and 13654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13638 and 13654. First we will calculate the prime factors of 13638 and 13654.

Prime Factorization of 13638

Prime Factorization of 13654

Now multiplying the highest exponent prime factors to calculate the LCM of 13638 and 13654.

LCM(13638,13654) = 2¹ × 3¹ × 2273¹ × 6827¹
LCM(13638,13654) = 93106626