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What is the Least Common Multiple of 28063 and 28076?

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 28063 and 28076 is 787896788.

LCM(28063,28076) = 787896788

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Least Common Multiple of 28063 and 28076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28063 and 28076, than apply into the LCM equation.

GCF(28063,28076) = 1
LCM(28063,28076) = ( 28063 × 28076) / 1
LCM(28063,28076) = 787896788 / 1
LCM(28063,28076) = 787896788

Least Common Multiple (LCM) of 28063 and 28076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28063 and 28076. First we will calculate the prime factors of 28063 and 28076.

Prime Factorization of 28063

Prime factors of 28063 are 7, 19, 211. Prime factorization of 28063 in exponential form is:

28063 = 71 × 191 × 2111

Prime Factorization of 28076

Prime factors of 28076 are 2, 7019. Prime factorization of 28076 in exponential form is:

28076 = 22 × 70191

Now multiplying the highest exponent prime factors to calculate the LCM of 28063 and 28076.

LCM(28063,28076) = 71 × 191 × 2111 × 22 × 70191
LCM(28063,28076) = 787896788