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What is the Least Common Multiple of 28722 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 28722 and 28734 is 137549658.

LCM(28722,28734) = 137549658

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Least Common Multiple of 28722 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 28722 and 28734, than apply into the LCM equation.

GCF(28722,28734) = 6
LCM(28722,28734) = ( 28722 × 28734) / 6
LCM(28722,28734) = 825297948 / 6
LCM(28722,28734) = 137549658

Least Common Multiple (LCM) of 28722 and 28734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28722 and 28734. First we will calculate the prime factors of 28722 and 28734.

Prime Factorization of 28722

Prime factors of 28722 are 2, 3, 4787. Prime factorization of 28722 in exponential form is:

28722 = 21 × 31 × 47871

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 28722 and 28734.

LCM(28722,28734) = 21 × 31 × 47871 × 47891
LCM(28722,28734) = 137549658