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What is the Least Common Multiple of 67103 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 67103 and 67121 is 4504020463.

LCM(67103,67121) = 4504020463

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Least Common Multiple of 67103 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 67103 and 67121, than apply into the LCM equation.

GCF(67103,67121) = 1
LCM(67103,67121) = ( 67103 × 67121) / 1
LCM(67103,67121) = 4504020463 / 1
LCM(67103,67121) = 4504020463

Least Common Multiple (LCM) of 67103 and 67121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67103 and 67121. First we will calculate the prime factors of 67103 and 67121.

Prime Factorization of 67103

Prime factors of 67103 are 67103. Prime factorization of 67103 in exponential form is:

67103 = 671031

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 67103 and 67121.

LCM(67103,67121) = 671031 × 671211
LCM(67103,67121) = 4504020463