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What is the Least Common Multiple of 4159 and 4176?

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 4159 and 4176 is 17367984.

LCM(4159,4176) = 17367984

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Least Common Multiple of 4159 and 4176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4159 and 4176, than apply into the LCM equation.

GCF(4159,4176) = 1
LCM(4159,4176) = ( 4159 × 4176) / 1
LCM(4159,4176) = 17367984 / 1
LCM(4159,4176) = 17367984

Least Common Multiple (LCM) of 4159 and 4176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4159 and 4176. First we will calculate the prime factors of 4159 and 4176.

Prime Factorization of 4159

Prime factors of 4159 are 4159. Prime factorization of 4159 in exponential form is:

4159 = 41591

Prime Factorization of 4176

Prime factors of 4176 are 2, 3, 29. Prime factorization of 4176 in exponential form is:

4176 = 24 × 32 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4159 and 4176.

LCM(4159,4176) = 41591 × 24 × 32 × 291
LCM(4159,4176) = 17367984