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What is the Least Common Multiple of 2614 and 2630?

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 2614 and 2630 is 3437410.

LCM(2614,2630) = 3437410

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Least Common Multiple of 2614 and 2630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2614 and 2630, than apply into the LCM equation.

GCF(2614,2630) = 2
LCM(2614,2630) = ( 2614 × 2630) / 2
LCM(2614,2630) = 6874820 / 2
LCM(2614,2630) = 3437410

Least Common Multiple (LCM) of 2614 and 2630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2614 and 2630. First we will calculate the prime factors of 2614 and 2630.

Prime Factorization of 2614

Prime factors of 2614 are 2, 1307. Prime factorization of 2614 in exponential form is:

2614 = 21 × 13071

Prime Factorization of 2630

Prime factors of 2630 are 2, 5, 263. Prime factorization of 2630 in exponential form is:

2630 = 21 × 51 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 2614 and 2630.

LCM(2614,2630) = 21 × 13071 × 51 × 2631
LCM(2614,2630) = 3437410