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What is the Least Common Multiple of 4112 and 4121?

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 4112 and 4121 is 16945552.

LCM(4112,4121) = 16945552

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Least Common Multiple of 4112 and 4121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4112 and 4121, than apply into the LCM equation.

GCF(4112,4121) = 1
LCM(4112,4121) = ( 4112 × 4121) / 1
LCM(4112,4121) = 16945552 / 1
LCM(4112,4121) = 16945552

Least Common Multiple (LCM) of 4112 and 4121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4112 and 4121. First we will calculate the prime factors of 4112 and 4121.

Prime Factorization of 4112

Prime factors of 4112 are 2, 257. Prime factorization of 4112 in exponential form is:

4112 = 24 × 2571

Prime Factorization of 4121

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

4121 = 131 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 4112 and 4121.

LCM(4112,4121) = 24 × 2571 × 131 × 3171
LCM(4112,4121) = 16945552