What is the Least Common Multiple of 3135 and 3141?

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 3135 and 3141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3135 and 3141, than apply into the LCM equation.

GCF(3135,3141) = 3
LCM(3135,3141) = ( 3135 × 3141) / 3
LCM(3135,3141) = 9847035 / 3
LCM(3135,3141) = 3282345

Least Common Multiple (LCM) of 3135 and 3141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3135 and 3141. First we will calculate the prime factors of 3135 and 3141.

Prime Factorization of 3135

Prime Factorization of 3141

Now multiplying the highest exponent prime factors to calculate the LCM of 3135 and 3141.

LCM(3135,3141) = 3² × 5¹ × 11¹ × 19¹ × 349¹
LCM(3135,3141) = 3282345