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What is the Least Common Multiple of 84121 and 84129?

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 84121 and 84129 is 7077015609.

LCM(84121,84129) = 7077015609

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Least Common Multiple of 84121 and 84129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84121 and 84129, than apply into the LCM equation.

GCF(84121,84129) = 1
LCM(84121,84129) = ( 84121 × 84129) / 1
LCM(84121,84129) = 7077015609 / 1
LCM(84121,84129) = 7077015609

Least Common Multiple (LCM) of 84121 and 84129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84121 and 84129. First we will calculate the prime factors of 84121 and 84129.

Prime Factorization of 84121

Prime factors of 84121 are 84121. Prime factorization of 84121 in exponential form is:

84121 = 841211

Prime Factorization of 84129

Prime factors of 84129 are 3, 29, 967. Prime factorization of 84129 in exponential form is:

84129 = 31 × 291 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 84121 and 84129.

LCM(84121,84129) = 841211 × 31 × 291 × 9671
LCM(84121,84129) = 7077015609