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What is the Least Common Multiple of 69166 and 69182?

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 69166 and 69182 is 2392521106.

LCM(69166,69182) = 2392521106

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Least Common Multiple of 69166 and 69182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69166 and 69182, than apply into the LCM equation.

GCF(69166,69182) = 2
LCM(69166,69182) = ( 69166 × 69182) / 2
LCM(69166,69182) = 4785042212 / 2
LCM(69166,69182) = 2392521106

Least Common Multiple (LCM) of 69166 and 69182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69166 and 69182. First we will calculate the prime factors of 69166 and 69182.

Prime Factorization of 69166

Prime factors of 69166 are 2, 34583. Prime factorization of 69166 in exponential form is:

69166 = 21 × 345831

Prime Factorization of 69182

Prime factors of 69182 are 2, 34591. Prime factorization of 69182 in exponential form is:

69182 = 21 × 345911

Now multiplying the highest exponent prime factors to calculate the LCM of 69166 and 69182.

LCM(69166,69182) = 21 × 345831 × 345911
LCM(69166,69182) = 2392521106