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What is the Least Common Multiple of 28612 and 28630?

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 28612 and 28630 is 409580780.

LCM(28612,28630) = 409580780

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Least Common Multiple of 28612 and 28630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28612 and 28630, than apply into the LCM equation.

GCF(28612,28630) = 2
LCM(28612,28630) = ( 28612 × 28630) / 2
LCM(28612,28630) = 819161560 / 2
LCM(28612,28630) = 409580780

Least Common Multiple (LCM) of 28612 and 28630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28612 and 28630. First we will calculate the prime factors of 28612 and 28630.

Prime Factorization of 28612

Prime factors of 28612 are 2, 23, 311. Prime factorization of 28612 in exponential form is:

28612 = 22 × 231 × 3111

Prime Factorization of 28630

Prime factors of 28630 are 2, 5, 7, 409. Prime factorization of 28630 in exponential form is:

28630 = 21 × 51 × 71 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 28612 and 28630.

LCM(28612,28630) = 22 × 231 × 3111 × 51 × 71 × 4091
LCM(28612,28630) = 409580780