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What is the Least Common Multiple of 4121 and 4140?

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 4121 and 4140 is 17060940.

LCM(4121,4140) = 17060940

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Least Common Multiple of 4121 and 4140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4121 and 4140, than apply into the LCM equation.

GCF(4121,4140) = 1
LCM(4121,4140) = ( 4121 × 4140) / 1
LCM(4121,4140) = 17060940 / 1
LCM(4121,4140) = 17060940

Least Common Multiple (LCM) of 4121 and 4140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4121 and 4140. First we will calculate the prime factors of 4121 and 4140.

Prime Factorization of 4121

Prime factors of 4121 are 13, 317. Prime factorization of 4121 in exponential form is:

4121 = 131 × 3171

Prime Factorization of 4140

Prime factors of 4140 are 2, 3, 5, 23. Prime factorization of 4140 in exponential form is:

4140 = 22 × 32 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4121 and 4140.

LCM(4121,4140) = 131 × 3171 × 22 × 32 × 51 × 231
LCM(4121,4140) = 17060940