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What is the Least Common Multiple of 3130 and 3148?

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 3130 and 3148 is 4926620.

LCM(3130,3148) = 4926620

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Least Common Multiple of 3130 and 3148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3130 and 3148, than apply into the LCM equation.

GCF(3130,3148) = 2
LCM(3130,3148) = ( 3130 × 3148) / 2
LCM(3130,3148) = 9853240 / 2
LCM(3130,3148) = 4926620

Least Common Multiple (LCM) of 3130 and 3148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3130 and 3148. First we will calculate the prime factors of 3130 and 3148.

Prime Factorization of 3130

Prime factors of 3130 are 2, 5, 313. Prime factorization of 3130 in exponential form is:

3130 = 21 × 51 × 3131

Prime Factorization of 3148

Prime factors of 3148 are 2, 787. Prime factorization of 3148 in exponential form is:

3148 = 22 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 3130 and 3148.

LCM(3130,3148) = 22 × 51 × 3131 × 7871
LCM(3130,3148) = 4926620