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What is the Least Common Multiple of 65162 and 65168?

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 65168 is 2123238608.

LCM(65162,65168) = 2123238608

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Least Common Multiple of 65162 and 65168 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 65168, than apply into the LCM equation.

GCF(65162,65168) = 2
LCM(65162,65168) = ( 65162 × 65168) / 2
LCM(65162,65168) = 4246477216 / 2
LCM(65162,65168) = 2123238608

Least Common Multiple (LCM) of 65162 and 65168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65162 and 65168. First we will calculate the prime factors of 65162 and 65168.

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 65168

Prime factors of 65168 are 2, 4073. Prime factorization of 65168 in exponential form is:

65168 = 24 × 40731

Now multiplying the highest exponent prime factors to calculate the LCM of 65162 and 65168.

LCM(65162,65168) = 24 × 311 × 10511 × 40731
LCM(65162,65168) = 2123238608