What is the Least Common Multiple of 12705 and 12712?

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 12712 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 12712, than apply into the LCM equation.

GCF(12705,12712) = 7
LCM(12705,12712) = ( 12705 × 12712) / 7
LCM(12705,12712) = 161505960 / 7
LCM(12705,12712) = 23072280

Least Common Multiple (LCM) of 12705 and 12712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12705 and 12712. First we will calculate the prime factors of 12705 and 12712.

Prime Factorization of 12705

Prime Factorization of 12712

Now multiplying the highest exponent prime factors to calculate the LCM of 12705 and 12712.

LCM(12705,12712) = 3¹ × 5¹ × 7¹ × 11² × 2³ × 227¹
LCM(12705,12712) = 23072280