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What is the Least Common Multiple of 28756 and 28766?

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 28756 and 28766 is 413597548.

LCM(28756,28766) = 413597548

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Least Common Multiple of 28756 and 28766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28756 and 28766, than apply into the LCM equation.

GCF(28756,28766) = 2
LCM(28756,28766) = ( 28756 × 28766) / 2
LCM(28756,28766) = 827195096 / 2
LCM(28756,28766) = 413597548

Least Common Multiple (LCM) of 28756 and 28766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28756 and 28766. First we will calculate the prime factors of 28756 and 28766.

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

Prime Factorization of 28766

Prime factors of 28766 are 2, 19, 757. Prime factorization of 28766 in exponential form is:

28766 = 21 × 191 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 28756 and 28766.

LCM(28756,28766) = 22 × 71 × 131 × 791 × 191 × 7571
LCM(28756,28766) = 413597548