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What is the Least Common Multiple of 6049 and 6057?

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 6049 and 6057 is 36638793.

LCM(6049,6057) = 36638793

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Least Common Multiple of 6049 and 6057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6049 and 6057, than apply into the LCM equation.

GCF(6049,6057) = 1
LCM(6049,6057) = ( 6049 × 6057) / 1
LCM(6049,6057) = 36638793 / 1
LCM(6049,6057) = 36638793

Least Common Multiple (LCM) of 6049 and 6057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6049 and 6057. First we will calculate the prime factors of 6049 and 6057.

Prime Factorization of 6049

Prime factors of 6049 are 23, 263. Prime factorization of 6049 in exponential form is:

6049 = 231 × 2631

Prime Factorization of 6057

Prime factors of 6057 are 3, 673. Prime factorization of 6057 in exponential form is:

6057 = 32 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 6049 and 6057.

LCM(6049,6057) = 231 × 2631 × 32 × 6731
LCM(6049,6057) = 36638793