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What is the Least Common Multiple of 67091 and 67110?

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 67091 and 67110 is 4502477010.

LCM(67091,67110) = 4502477010

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Least Common Multiple of 67091 and 67110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67091 and 67110, than apply into the LCM equation.

GCF(67091,67110) = 1
LCM(67091,67110) = ( 67091 × 67110) / 1
LCM(67091,67110) = 4502477010 / 1
LCM(67091,67110) = 4502477010

Least Common Multiple (LCM) of 67091 and 67110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67091 and 67110. First we will calculate the prime factors of 67091 and 67110.

Prime Factorization of 67091

Prime factors of 67091 are 23, 2917. Prime factorization of 67091 in exponential form is:

67091 = 231 × 29171

Prime Factorization of 67110

Prime factors of 67110 are 2, 3, 5, 2237. Prime factorization of 67110 in exponential form is:

67110 = 21 × 31 × 51 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 67091 and 67110.

LCM(67091,67110) = 231 × 29171 × 21 × 31 × 51 × 22371
LCM(67091,67110) = 4502477010