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What is the Least Common Multiple of 95104 and 95121?

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 95104 and 95121 is 9046387584.

LCM(95104,95121) = 9046387584

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Least Common Multiple of 95104 and 95121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95104 and 95121, than apply into the LCM equation.

GCF(95104,95121) = 1
LCM(95104,95121) = ( 95104 × 95121) / 1
LCM(95104,95121) = 9046387584 / 1
LCM(95104,95121) = 9046387584

Least Common Multiple (LCM) of 95104 and 95121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95104 and 95121. First we will calculate the prime factors of 95104 and 95121.

Prime Factorization of 95104

Prime factors of 95104 are 2, 743. Prime factorization of 95104 in exponential form is:

95104 = 27 × 7431

Prime Factorization of 95121

Prime factors of 95121 are 3, 13, 271. Prime factorization of 95121 in exponential form is:

95121 = 33 × 131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 95104 and 95121.

LCM(95104,95121) = 27 × 7431 × 33 × 131 × 2711
LCM(95104,95121) = 9046387584