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What is the Least Common Multiple of 28147 and 28160?

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 28147 and 28160 is 792619520.

LCM(28147,28160) = 792619520

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Least Common Multiple of 28147 and 28160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28147 and 28160, than apply into the LCM equation.

GCF(28147,28160) = 1
LCM(28147,28160) = ( 28147 × 28160) / 1
LCM(28147,28160) = 792619520 / 1
LCM(28147,28160) = 792619520

Least Common Multiple (LCM) of 28147 and 28160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28147 and 28160. First we will calculate the prime factors of 28147 and 28160.

Prime Factorization of 28147

Prime factors of 28147 are 7, 4021. Prime factorization of 28147 in exponential form is:

28147 = 71 × 40211

Prime Factorization of 28160

Prime factors of 28160 are 2, 5, 11. Prime factorization of 28160 in exponential form is:

28160 = 29 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 28147 and 28160.

LCM(28147,28160) = 71 × 40211 × 29 × 51 × 111
LCM(28147,28160) = 792619520