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What is the Least Common Multiple of 54147 and 54166?

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 54147 and 54166 is 2932926402.

LCM(54147,54166) = 2932926402

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Least Common Multiple of 54147 and 54166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54147 and 54166, than apply into the LCM equation.

GCF(54147,54166) = 1
LCM(54147,54166) = ( 54147 × 54166) / 1
LCM(54147,54166) = 2932926402 / 1
LCM(54147,54166) = 2932926402

Least Common Multiple (LCM) of 54147 and 54166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54147 and 54166. First we will calculate the prime factors of 54147 and 54166.

Prime Factorization of 54147

Prime factors of 54147 are 3, 18049. Prime factorization of 54147 in exponential form is:

54147 = 31 × 180491

Prime Factorization of 54166

Prime factors of 54166 are 2, 7, 53, 73. Prime factorization of 54166 in exponential form is:

54166 = 21 × 71 × 531 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 54147 and 54166.

LCM(54147,54166) = 31 × 180491 × 21 × 71 × 531 × 731
LCM(54147,54166) = 2932926402