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What is the Least Common Multiple of 28726 and 28734?

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 28726 and 28734 is 412706442.

LCM(28726,28734) = 412706442

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Least Common Multiple of 28726 and 28734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28726 and 28734, than apply into the LCM equation.

GCF(28726,28734) = 2
LCM(28726,28734) = ( 28726 × 28734) / 2
LCM(28726,28734) = 825412884 / 2
LCM(28726,28734) = 412706442

Least Common Multiple (LCM) of 28726 and 28734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28726 and 28734. First we will calculate the prime factors of 28726 and 28734.

Prime Factorization of 28726

Prime factors of 28726 are 2, 53, 271. Prime factorization of 28726 in exponential form is:

28726 = 21 × 531 × 2711

Prime Factorization of 28734

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

28734 = 21 × 31 × 47891

Now multiplying the highest exponent prime factors to calculate the LCM of 28726 and 28734.

LCM(28726,28734) = 21 × 531 × 2711 × 31 × 47891
LCM(28726,28734) = 412706442