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What is the Least Common Multiple of 28730 and 28741?

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 28730 and 28741 is 825728930.

LCM(28730,28741) = 825728930

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Least Common Multiple of 28730 and 28741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28730 and 28741, than apply into the LCM equation.

GCF(28730,28741) = 1
LCM(28730,28741) = ( 28730 × 28741) / 1
LCM(28730,28741) = 825728930 / 1
LCM(28730,28741) = 825728930

Least Common Multiple (LCM) of 28730 and 28741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28730 and 28741. First we will calculate the prime factors of 28730 and 28741.

Prime Factorization of 28730

Prime factors of 28730 are 2, 5, 13, 17. Prime factorization of 28730 in exponential form is:

28730 = 21 × 51 × 132 × 171

Prime Factorization of 28741

Prime factors of 28741 are 41, 701. Prime factorization of 28741 in exponential form is:

28741 = 411 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 28730 and 28741.

LCM(28730,28741) = 21 × 51 × 132 × 171 × 411 × 7011
LCM(28730,28741) = 825728930