What is the Least Common Multiple of 13578 and 13587?

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 13578 and 13587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13578 and 13587, than apply into the LCM equation.

GCF(13578,13587) = 3
LCM(13578,13587) = ( 13578 × 13587) / 3
LCM(13578,13587) = 184484286 / 3
LCM(13578,13587) = 61494762

Least Common Multiple (LCM) of 13578 and 13587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13578 and 13587. First we will calculate the prime factors of 13578 and 13587.

Prime Factorization of 13578

Prime Factorization of 13587

Now multiplying the highest exponent prime factors to calculate the LCM of 13578 and 13587.

LCM(13578,13587) = 2¹ × 3¹ × 31¹ × 73¹ × 7¹ × 647¹
LCM(13578,13587) = 61494762