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What is the Least Common Multiple of 65162 and 65182?

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 65162 and 65182 is 2123694742.

LCM(65162,65182) = 2123694742

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Least Common Multiple of 65162 and 65182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65162 and 65182, than apply into the LCM equation.

GCF(65162,65182) = 2
LCM(65162,65182) = ( 65162 × 65182) / 2
LCM(65162,65182) = 4247389484 / 2
LCM(65162,65182) = 2123694742

Least Common Multiple (LCM) of 65162 and 65182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65162 and 65182. First we will calculate the prime factors of 65162 and 65182.

Prime Factorization of 65162

Prime factors of 65162 are 2, 31, 1051. Prime factorization of 65162 in exponential form is:

65162 = 21 × 311 × 10511

Prime Factorization of 65182

Prime factors of 65182 are 2, 13, 23, 109. Prime factorization of 65182 in exponential form is:

65182 = 21 × 131 × 231 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 65162 and 65182.

LCM(65162,65182) = 21 × 311 × 10511 × 131 × 231 × 1091
LCM(65162,65182) = 2123694742