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What is the Least Common Multiple of 6049 and 6053?

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 6053 is 36614597.

LCM(6049,6053) = 36614597

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Least Common Multiple of 6049 and 6053 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 6053, than apply into the LCM equation.

GCF(6049,6053) = 1
LCM(6049,6053) = ( 6049 × 6053) / 1
LCM(6049,6053) = 36614597 / 1
LCM(6049,6053) = 36614597

Least Common Multiple (LCM) of 6049 and 6053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6049 and 6053. First we will calculate the prime factors of 6049 and 6053.

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 6053

Prime factors of 6053 are 6053. Prime factorization of 6053 in exponential form is:

6053 = 60531

Now multiplying the highest exponent prime factors to calculate the LCM of 6049 and 6053.

LCM(6049,6053) = 231 × 2631 × 60531
LCM(6049,6053) = 36614597