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What is the Least Common Multiple of 4146 and 4166?

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 4146 and 4166 is 8636118.

LCM(4146,4166) = 8636118

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Least Common Multiple of 4146 and 4166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4146 and 4166, than apply into the LCM equation.

GCF(4146,4166) = 2
LCM(4146,4166) = ( 4146 × 4166) / 2
LCM(4146,4166) = 17272236 / 2
LCM(4146,4166) = 8636118

Least Common Multiple (LCM) of 4146 and 4166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4146 and 4166. First we will calculate the prime factors of 4146 and 4166.

Prime Factorization of 4146

Prime factors of 4146 are 2, 3, 691. Prime factorization of 4146 in exponential form is:

4146 = 21 × 31 × 6911

Prime Factorization of 4166

Prime factors of 4166 are 2, 2083. Prime factorization of 4166 in exponential form is:

4166 = 21 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 4146 and 4166.

LCM(4146,4166) = 21 × 31 × 6911 × 20831
LCM(4146,4166) = 8636118