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What is the Least Common Multiple of 28742 and 28756?

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 28742 and 28756 is 59036068.

LCM(28742,28756) = 59036068

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Least Common Multiple of 28742 and 28756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28742 and 28756, than apply into the LCM equation.

GCF(28742,28756) = 14
LCM(28742,28756) = ( 28742 × 28756) / 14
LCM(28742,28756) = 826504952 / 14
LCM(28742,28756) = 59036068

Least Common Multiple (LCM) of 28742 and 28756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28742 and 28756. First we will calculate the prime factors of 28742 and 28756.

Prime Factorization of 28742

Prime factors of 28742 are 2, 7, 2053. Prime factorization of 28742 in exponential form is:

28742 = 21 × 71 × 20531

Prime Factorization of 28756

Prime factors of 28756 are 2, 7, 13, 79. Prime factorization of 28756 in exponential form is:

28756 = 22 × 71 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 28742 and 28756.

LCM(28742,28756) = 22 × 71 × 20531 × 131 × 791
LCM(28742,28756) = 59036068