What is the Least Common Multiple of 13536 and 13540?

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 13540 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 13540, than apply into the LCM equation.

GCF(13536,13540) = 4
LCM(13536,13540) = ( 13536 × 13540) / 4
LCM(13536,13540) = 183277440 / 4
LCM(13536,13540) = 45819360

Least Common Multiple (LCM) of 13536 and 13540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13536 and 13540. First we will calculate the prime factors of 13536 and 13540.

Prime Factorization of 13536

Prime Factorization of 13540

Now multiplying the highest exponent prime factors to calculate the LCM of 13536 and 13540.

LCM(13536,13540) = 2⁵ × 3² × 47¹ × 5¹ × 677¹
LCM(13536,13540) = 45819360