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What is the Least Common Multiple of 3626 and 3630?

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 3626 and 3630 is 6581190.

LCM(3626,3630) = 6581190

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Least Common Multiple of 3626 and 3630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3626 and 3630, than apply into the LCM equation.

GCF(3626,3630) = 2
LCM(3626,3630) = ( 3626 × 3630) / 2
LCM(3626,3630) = 13162380 / 2
LCM(3626,3630) = 6581190

Least Common Multiple (LCM) of 3626 and 3630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3626 and 3630. First we will calculate the prime factors of 3626 and 3630.

Prime Factorization of 3626

Prime factors of 3626 are 2, 7, 37. Prime factorization of 3626 in exponential form is:

3626 = 21 × 72 × 371

Prime Factorization of 3630

Prime factors of 3630 are 2, 3, 5, 11. Prime factorization of 3630 in exponential form is:

3630 = 21 × 31 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 3626 and 3630.

LCM(3626,3630) = 21 × 72 × 371 × 31 × 51 × 112
LCM(3626,3630) = 6581190