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What is the Least Common Multiple of 67113 and 67121?

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 67113 and 67121 is 4504691673.

LCM(67113,67121) = 4504691673

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Least Common Multiple of 67113 and 67121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67113 and 67121, than apply into the LCM equation.

GCF(67113,67121) = 1
LCM(67113,67121) = ( 67113 × 67121) / 1
LCM(67113,67121) = 4504691673 / 1
LCM(67113,67121) = 4504691673

Least Common Multiple (LCM) of 67113 and 67121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67113 and 67121. First we will calculate the prime factors of 67113 and 67121.

Prime Factorization of 67113

Prime factors of 67113 are 3, 7457. Prime factorization of 67113 in exponential form is:

67113 = 32 × 74571

Prime Factorization of 67121

Prime factors of 67121 are 67121. Prime factorization of 67121 in exponential form is:

67121 = 671211

Now multiplying the highest exponent prime factors to calculate the LCM of 67113 and 67121.

LCM(67113,67121) = 32 × 74571 × 671211
LCM(67113,67121) = 4504691673