What is the Least Common Multiple of 13628 and 13648?

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 13628 and 13648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13628 and 13648, than apply into the LCM equation.

GCF(13628,13648) = 4
LCM(13628,13648) = ( 13628 × 13648) / 4
LCM(13628,13648) = 185994944 / 4
LCM(13628,13648) = 46498736

Least Common Multiple (LCM) of 13628 and 13648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13628 and 13648. First we will calculate the prime factors of 13628 and 13648.

Prime Factorization of 13628

Prime Factorization of 13648

Now multiplying the highest exponent prime factors to calculate the LCM of 13628 and 13648.

LCM(13628,13648) = 2⁴ × 3407¹ × 853¹
LCM(13628,13648) = 46498736