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What is the Least Common Multiple of 28700 and 28719?

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 28700 and 28719 is 824235300.

LCM(28700,28719) = 824235300

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Least Common Multiple of 28700 and 28719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28700 and 28719, than apply into the LCM equation.

GCF(28700,28719) = 1
LCM(28700,28719) = ( 28700 × 28719) / 1
LCM(28700,28719) = 824235300 / 1
LCM(28700,28719) = 824235300

Least Common Multiple (LCM) of 28700 and 28719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28700 and 28719. First we will calculate the prime factors of 28700 and 28719.

Prime Factorization of 28700

Prime factors of 28700 are 2, 5, 7, 41. Prime factorization of 28700 in exponential form is:

28700 = 22 × 52 × 71 × 411

Prime Factorization of 28719

Prime factors of 28719 are 3, 3191. Prime factorization of 28719 in exponential form is:

28719 = 32 × 31911

Now multiplying the highest exponent prime factors to calculate the LCM of 28700 and 28719.

LCM(28700,28719) = 22 × 52 × 71 × 411 × 32 × 31911
LCM(28700,28719) = 824235300