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What is the Least Common Multiple of 5049 and 5057?

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 5049 and 5057 is 25532793.

LCM(5049,5057) = 25532793

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Least Common Multiple of 5049 and 5057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5049 and 5057, than apply into the LCM equation.

GCF(5049,5057) = 1
LCM(5049,5057) = ( 5049 × 5057) / 1
LCM(5049,5057) = 25532793 / 1
LCM(5049,5057) = 25532793

Least Common Multiple (LCM) of 5049 and 5057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5049 and 5057. First we will calculate the prime factors of 5049 and 5057.

Prime Factorization of 5049

Prime factors of 5049 are 3, 11, 17. Prime factorization of 5049 in exponential form is:

5049 = 33 × 111 × 171

Prime Factorization of 5057

Prime factors of 5057 are 13, 389. Prime factorization of 5057 in exponential form is:

5057 = 131 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 5049 and 5057.

LCM(5049,5057) = 33 × 111 × 171 × 131 × 3891
LCM(5049,5057) = 25532793