What is the Least Common Multiple of 3174 and 3180?

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 3174 and 3180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3174 and 3180, than apply into the LCM equation.

GCF(3174,3180) = 6
LCM(3174,3180) = ( 3174 × 3180) / 6
LCM(3174,3180) = 10093320 / 6
LCM(3174,3180) = 1682220

Least Common Multiple (LCM) of 3174 and 3180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3174 and 3180. First we will calculate the prime factors of 3174 and 3180.

Prime Factorization of 3174

Prime Factorization of 3180

Now multiplying the highest exponent prime factors to calculate the LCM of 3174 and 3180.

LCM(3174,3180) = 2² × 3¹ × 23² × 5¹ × 53¹
LCM(3174,3180) = 1682220