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What is the Least Common Multiple of 28734 and 28754?

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 28734 and 28754 is 413108718.

LCM(28734,28754) = 413108718

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Least Common Multiple of 28734 and 28754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28734 and 28754, than apply into the LCM equation.

GCF(28734,28754) = 2
LCM(28734,28754) = ( 28734 × 28754) / 2
LCM(28734,28754) = 826217436 / 2
LCM(28734,28754) = 413108718

Least Common Multiple (LCM) of 28734 and 28754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28734 and 28754. First we will calculate the prime factors of 28734 and 28754.

Prime Factorization of 28734

Prime factors of 28734 are 2, 3, 4789. Prime factorization of 28734 in exponential form is:

28734 = 21 × 31 × 47891

Prime Factorization of 28754

Prime factors of 28754 are 2, 11, 1307. Prime factorization of 28754 in exponential form is:

28754 = 21 × 111 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 28734 and 28754.

LCM(28734,28754) = 21 × 31 × 47891 × 111 × 13071
LCM(28734,28754) = 413108718