What is the Least Common Multiple of 16680 and 16689?

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 16680 and 16689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16680 and 16689, than apply into the LCM equation.

GCF(16680,16689) = 3
LCM(16680,16689) = ( 16680 × 16689) / 3
LCM(16680,16689) = 278372520 / 3
LCM(16680,16689) = 92790840

Least Common Multiple (LCM) of 16680 and 16689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16680 and 16689. First we will calculate the prime factors of 16680 and 16689.

Prime Factorization of 16680

Prime Factorization of 16689

Now multiplying the highest exponent prime factors to calculate the LCM of 16680 and 16689.

LCM(16680,16689) = 2³ × 3¹ × 5¹ × 139¹ × 5563¹
LCM(16680,16689) = 92790840