What is the Least Common Multiple of 18696 and 18716?

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 18696 and 18716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18696 and 18716, than apply into the LCM equation.

GCF(18696,18716) = 4
LCM(18696,18716) = ( 18696 × 18716) / 4
LCM(18696,18716) = 349914336 / 4
LCM(18696,18716) = 87478584

Least Common Multiple (LCM) of 18696 and 18716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18696 and 18716. First we will calculate the prime factors of 18696 and 18716.

Prime Factorization of 18696

Prime Factorization of 18716

Now multiplying the highest exponent prime factors to calculate the LCM of 18696 and 18716.

LCM(18696,18716) = 2³ × 3¹ × 19¹ × 41¹ × 4679¹
LCM(18696,18716) = 87478584