What is the Least Common Multiple of 18696 and 18714?

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 18714 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 18714, than apply into the LCM equation.

GCF(18696,18714) = 6
LCM(18696,18714) = ( 18696 × 18714) / 6
LCM(18696,18714) = 349876944 / 6
LCM(18696,18714) = 58312824

Least Common Multiple (LCM) of 18696 and 18714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18696 and 18714. First we will calculate the prime factors of 18696 and 18714.

Prime Factorization of 18696

Prime Factorization of 18714

Now multiplying the highest exponent prime factors to calculate the LCM of 18696 and 18714.

LCM(18696,18714) = 2³ × 3¹ × 19¹ × 41¹ × 3119¹
LCM(18696,18714) = 58312824