What is the Least Common Multiple of 12690 and 12699?

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 12690 and 12699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12690 and 12699, than apply into the LCM equation.

GCF(12690,12699) = 9
LCM(12690,12699) = ( 12690 × 12699) / 9
LCM(12690,12699) = 161150310 / 9
LCM(12690,12699) = 17905590

Least Common Multiple (LCM) of 12690 and 12699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12690 and 12699. First we will calculate the prime factors of 12690 and 12699.

Prime Factorization of 12690

Prime Factorization of 12699

Now multiplying the highest exponent prime factors to calculate the LCM of 12690 and 12699.

LCM(12690,12699) = 2¹ × 3³ × 5¹ × 47¹ × 17¹ × 83¹
LCM(12690,12699) = 17905590