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What is the Least Common Multiple of 54166 and 54182?

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 54166 and 54182 is 1467411106.

LCM(54166,54182) = 1467411106

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Least Common Multiple of 54166 and 54182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54166 and 54182, than apply into the LCM equation.

GCF(54166,54182) = 2
LCM(54166,54182) = ( 54166 × 54182) / 2
LCM(54166,54182) = 2934822212 / 2
LCM(54166,54182) = 1467411106

Least Common Multiple (LCM) of 54166 and 54182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54166 and 54182. First we will calculate the prime factors of 54166 and 54182.

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

Prime Factorization of 54182

Prime factors of 54182 are 2, 27091. Prime factorization of 54182 in exponential form is:

54182 = 21 × 270911

Now multiplying the highest exponent prime factors to calculate the LCM of 54166 and 54182.

LCM(54166,54182) = 21 × 71 × 531 × 731 × 270911
LCM(54166,54182) = 1467411106