GCF and LCM Calculator Logo

What is the Least Common Multiple of 3154 and 3163?

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 (LCM) of 3154 and 3163 is 9976102.

LCM(3154,3163) = 9976102

LCM Calculator and
and

Least Common Multiple of 3154 and 3163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3154 and 3163, than apply into the LCM equation.

GCF(3154,3163) = 1
LCM(3154,3163) = ( 3154 × 3163) / 1
LCM(3154,3163) = 9976102 / 1
LCM(3154,3163) = 9976102

Least Common Multiple (LCM) of 3154 and 3163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3154 and 3163. First we will calculate the prime factors of 3154 and 3163.

Prime Factorization of 3154

Prime factors of 3154 are 2, 19, 83. Prime factorization of 3154 in exponential form is:

3154 = 21 × 191 × 831

Prime Factorization of 3163

Prime factors of 3163 are 3163. Prime factorization of 3163 in exponential form is:

3163 = 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 3154 and 3163.

LCM(3154,3163) = 21 × 191 × 831 × 31631
LCM(3154,3163) = 9976102