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What is the Least Common Multiple of 3121 and 3125?

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 3121 and 3125 is 9753125.

LCM(3121,3125) = 9753125

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Least Common Multiple of 3121 and 3125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3121 and 3125, than apply into the LCM equation.

GCF(3121,3125) = 1
LCM(3121,3125) = ( 3121 × 3125) / 1
LCM(3121,3125) = 9753125 / 1
LCM(3121,3125) = 9753125

Least Common Multiple (LCM) of 3121 and 3125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3121 and 3125. First we will calculate the prime factors of 3121 and 3125.

Prime Factorization of 3121

Prime factors of 3121 are 3121. Prime factorization of 3121 in exponential form is:

3121 = 31211

Prime Factorization of 3125

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 55

Now multiplying the highest exponent prime factors to calculate the LCM of 3121 and 3125.

LCM(3121,3125) = 31211 × 55
LCM(3121,3125) = 9753125