What is the Least Common Multiple of 12705 and 12718?

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 12705 and 12718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12705 and 12718, than apply into the LCM equation.

GCF(12705,12718) = 1
LCM(12705,12718) = ( 12705 × 12718) / 1
LCM(12705,12718) = 161582190 / 1
LCM(12705,12718) = 161582190

Least Common Multiple (LCM) of 12705 and 12718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12705 and 12718. First we will calculate the prime factors of 12705 and 12718.

Prime Factorization of 12705

Prime Factorization of 12718

Now multiplying the highest exponent prime factors to calculate the LCM of 12705 and 12718.

LCM(12705,12718) = 3¹ × 5¹ × 7¹ × 11² × 2¹ × 6359¹
LCM(12705,12718) = 161582190