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What is the Least Common Multiple of 28049 and 28057?

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 28049 and 28057 is 786970793.

LCM(28049,28057) = 786970793

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Least Common Multiple of 28049 and 28057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28049 and 28057, than apply into the LCM equation.

GCF(28049,28057) = 1
LCM(28049,28057) = ( 28049 × 28057) / 1
LCM(28049,28057) = 786970793 / 1
LCM(28049,28057) = 786970793

Least Common Multiple (LCM) of 28049 and 28057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28049 and 28057. First we will calculate the prime factors of 28049 and 28057.

Prime Factorization of 28049

Prime factors of 28049 are 7, 4007. Prime factorization of 28049 in exponential form is:

28049 = 71 × 40071

Prime Factorization of 28057

Prime factors of 28057 are 28057. Prime factorization of 28057 in exponential form is:

28057 = 280571

Now multiplying the highest exponent prime factors to calculate the LCM of 28049 and 28057.

LCM(28049,28057) = 71 × 40071 × 280571
LCM(28049,28057) = 786970793