What is the Least Common Multiple of 13548 and 13568?

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 13548 and 13568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13548 and 13568, than apply into the LCM equation.

GCF(13548,13568) = 4
LCM(13548,13568) = ( 13548 × 13568) / 4
LCM(13548,13568) = 183819264 / 4
LCM(13548,13568) = 45954816

Least Common Multiple (LCM) of 13548 and 13568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13548 and 13568. First we will calculate the prime factors of 13548 and 13568.

Prime Factorization of 13548

Prime Factorization of 13568

Now multiplying the highest exponent prime factors to calculate the LCM of 13548 and 13568.

LCM(13548,13568) = 2⁸ × 3¹ × 1129¹ × 53¹
LCM(13548,13568) = 45954816