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What is the Least Common Multiple of 28600 and 28610?

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 28600 and 28610 is 81824600.

LCM(28600,28610) = 81824600

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Least Common Multiple of 28600 and 28610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28600 and 28610, than apply into the LCM equation.

GCF(28600,28610) = 10
LCM(28600,28610) = ( 28600 × 28610) / 10
LCM(28600,28610) = 818246000 / 10
LCM(28600,28610) = 81824600

Least Common Multiple (LCM) of 28600 and 28610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28600 and 28610. First we will calculate the prime factors of 28600 and 28610.

Prime Factorization of 28600

Prime factors of 28600 are 2, 5, 11, 13. Prime factorization of 28600 in exponential form is:

28600 = 23 × 52 × 111 × 131

Prime Factorization of 28610

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

28610 = 21 × 51 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 28600 and 28610.

LCM(28600,28610) = 23 × 52 × 111 × 131 × 28611
LCM(28600,28610) = 81824600