GCF and LCM Calculator Logo

What is the Least Common Multiple of 3154 and 3160?

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 3160 is 4983320.

LCM(3154,3160) = 4983320

LCM Calculator and
and

Least Common Multiple of 3154 and 3160 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 3160, than apply into the LCM equation.

GCF(3154,3160) = 2
LCM(3154,3160) = ( 3154 × 3160) / 2
LCM(3154,3160) = 9966640 / 2
LCM(3154,3160) = 4983320

Least Common Multiple (LCM) of 3154 and 3160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3154 and 3160. First we will calculate the prime factors of 3154 and 3160.

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 3160

Prime factors of 3160 are 2, 5, 79. Prime factorization of 3160 in exponential form is:

3160 = 23 × 51 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 3154 and 3160.

LCM(3154,3160) = 23 × 191 × 831 × 51 × 791
LCM(3154,3160) = 4983320