What is the Least Common Multiple of 13536 and 13546?

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 13536 and 13546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13536 and 13546, than apply into the LCM equation.

GCF(13536,13546) = 2
LCM(13536,13546) = ( 13536 × 13546) / 2
LCM(13536,13546) = 183358656 / 2
LCM(13536,13546) = 91679328

Least Common Multiple (LCM) of 13536 and 13546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13536 and 13546. First we will calculate the prime factors of 13536 and 13546.

Prime Factorization of 13536

Prime Factorization of 13546

Now multiplying the highest exponent prime factors to calculate the LCM of 13536 and 13546.

LCM(13536,13546) = 2⁵ × 3² × 47¹ × 13¹ × 521¹
LCM(13536,13546) = 91679328