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What is the Least Common Multiple of 5149 and 5154?

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 5149 and 5154 is 26537946.

LCM(5149,5154) = 26537946

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Least Common Multiple of 5149 and 5154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5149 and 5154, than apply into the LCM equation.

GCF(5149,5154) = 1
LCM(5149,5154) = ( 5149 × 5154) / 1
LCM(5149,5154) = 26537946 / 1
LCM(5149,5154) = 26537946

Least Common Multiple (LCM) of 5149 and 5154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5149 and 5154. First we will calculate the prime factors of 5149 and 5154.

Prime Factorization of 5149

Prime factors of 5149 are 19, 271. Prime factorization of 5149 in exponential form is:

5149 = 191 × 2711

Prime Factorization of 5154

Prime factors of 5154 are 2, 3, 859. Prime factorization of 5154 in exponential form is:

5154 = 21 × 31 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 5149 and 5154.

LCM(5149,5154) = 191 × 2711 × 21 × 31 × 8591
LCM(5149,5154) = 26537946