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What is the Least Common Multiple of 5151 and 5161?

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 5151 and 5161 is 26584311.

LCM(5151,5161) = 26584311

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Least Common Multiple of 5151 and 5161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5151 and 5161, than apply into the LCM equation.

GCF(5151,5161) = 1
LCM(5151,5161) = ( 5151 × 5161) / 1
LCM(5151,5161) = 26584311 / 1
LCM(5151,5161) = 26584311

Least Common Multiple (LCM) of 5151 and 5161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5151 and 5161. First we will calculate the prime factors of 5151 and 5161.

Prime Factorization of 5151

Prime factors of 5151 are 3, 17, 101. Prime factorization of 5151 in exponential form is:

5151 = 31 × 171 × 1011

Prime Factorization of 5161

Prime factors of 5161 are 13, 397. Prime factorization of 5161 in exponential form is:

5161 = 131 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 5151 and 5161.

LCM(5151,5161) = 31 × 171 × 1011 × 131 × 3971
LCM(5151,5161) = 26584311