What is the Least Common Multiple of 15855 and 15864?

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 15855 and 15864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15855 and 15864, than apply into the LCM equation.

GCF(15855,15864) = 3
LCM(15855,15864) = ( 15855 × 15864) / 3
LCM(15855,15864) = 251523720 / 3
LCM(15855,15864) = 83841240

Least Common Multiple (LCM) of 15855 and 15864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15855 and 15864. First we will calculate the prime factors of 15855 and 15864.

Prime Factorization of 15855

Prime Factorization of 15864

Now multiplying the highest exponent prime factors to calculate the LCM of 15855 and 15864.

LCM(15855,15864) = 3¹ × 5¹ × 7¹ × 151¹ × 2³ × 661¹
LCM(15855,15864) = 83841240