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What is the Least Common Multiple of 67045 and 67057?

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 67045 and 67057 is 4495836565.

LCM(67045,67057) = 4495836565

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Least Common Multiple of 67045 and 67057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67045 and 67057, than apply into the LCM equation.

GCF(67045,67057) = 1
LCM(67045,67057) = ( 67045 × 67057) / 1
LCM(67045,67057) = 4495836565 / 1
LCM(67045,67057) = 4495836565

Least Common Multiple (LCM) of 67045 and 67057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67045 and 67057. First we will calculate the prime factors of 67045 and 67057.

Prime Factorization of 67045

Prime factors of 67045 are 5, 11, 23, 53. Prime factorization of 67045 in exponential form is:

67045 = 51 × 111 × 231 × 531

Prime Factorization of 67057

Prime factors of 67057 are 67057. Prime factorization of 67057 in exponential form is:

67057 = 670571

Now multiplying the highest exponent prime factors to calculate the LCM of 67045 and 67057.

LCM(67045,67057) = 51 × 111 × 231 × 531 × 670571
LCM(67045,67057) = 4495836565