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What is the Least Common Multiple of 28610 and 28616?

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 28610 and 28616 is 409351880.

LCM(28610,28616) = 409351880

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Least Common Multiple of 28610 and 28616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28610 and 28616, than apply into the LCM equation.

GCF(28610,28616) = 2
LCM(28610,28616) = ( 28610 × 28616) / 2
LCM(28610,28616) = 818703760 / 2
LCM(28610,28616) = 409351880

Least Common Multiple (LCM) of 28610 and 28616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28610 and 28616. First we will calculate the prime factors of 28610 and 28616.

Prime Factorization of 28610

Prime factors of 28610 are 2, 5, 2861. Prime factorization of 28610 in exponential form is:

28610 = 21 × 51 × 28611

Prime Factorization of 28616

Prime factors of 28616 are 2, 7, 73. Prime factorization of 28616 in exponential form is:

28616 = 23 × 72 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 28610 and 28616.

LCM(28610,28616) = 23 × 51 × 28611 × 72 × 731
LCM(28610,28616) = 409351880