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What is the Least Common Multiple of 67110 and 67118?

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 67110 and 67118 is 2252144490.

LCM(67110,67118) = 2252144490

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Least Common Multiple of 67110 and 67118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67110 and 67118, than apply into the LCM equation.

GCF(67110,67118) = 2
LCM(67110,67118) = ( 67110 × 67118) / 2
LCM(67110,67118) = 4504288980 / 2
LCM(67110,67118) = 2252144490

Least Common Multiple (LCM) of 67110 and 67118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67110 and 67118. First we will calculate the prime factors of 67110 and 67118.

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

Prime Factorization of 67118

Prime factors of 67118 are 2, 37, 907. Prime factorization of 67118 in exponential form is:

67118 = 21 × 371 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 67110 and 67118.

LCM(67110,67118) = 21 × 31 × 51 × 22371 × 371 × 9071
LCM(67110,67118) = 2252144490