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What is the Least Common Multiple of 3140 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 3140 and 3160 is 496120.

LCM(3140,3160) = 496120

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Least Common Multiple of 3140 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 3140 and 3160, than apply into the LCM equation.

GCF(3140,3160) = 20
LCM(3140,3160) = ( 3140 × 3160) / 20
LCM(3140,3160) = 9922400 / 20
LCM(3140,3160) = 496120

Least Common Multiple (LCM) of 3140 and 3160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3140 and 3160. First we will calculate the prime factors of 3140 and 3160.

Prime Factorization of 3140

Prime factors of 3140 are 2, 5, 157. Prime factorization of 3140 in exponential form is:

3140 = 22 × 51 × 1571

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 3140 and 3160.

LCM(3140,3160) = 23 × 51 × 1571 × 791
LCM(3140,3160) = 496120