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What is the Least Common Multiple of 4112 and 4127?

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 4127 is 16970224.

LCM(4112,4127) = 16970224

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Least Common Multiple of 4112 and 4127 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 4127, than apply into the LCM equation.

GCF(4112,4127) = 1
LCM(4112,4127) = ( 4112 × 4127) / 1
LCM(4112,4127) = 16970224 / 1
LCM(4112,4127) = 16970224

Least Common Multiple (LCM) of 4112 and 4127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4112 and 4127. First we will calculate the prime factors of 4112 and 4127.

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 4127

Prime factors of 4127 are 4127. Prime factorization of 4127 in exponential form is:

4127 = 41271

Now multiplying the highest exponent prime factors to calculate the LCM of 4112 and 4127.

LCM(4112,4127) = 24 × 2571 × 41271
LCM(4112,4127) = 16970224