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What is the Least Common Multiple of 65167 and 65181?

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 65167 and 65181 is 4247650227.

LCM(65167,65181) = 4247650227

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Least Common Multiple of 65167 and 65181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65167 and 65181, than apply into the LCM equation.

GCF(65167,65181) = 1
LCM(65167,65181) = ( 65167 × 65181) / 1
LCM(65167,65181) = 4247650227 / 1
LCM(65167,65181) = 4247650227

Least Common Multiple (LCM) of 65167 and 65181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65167 and 65181. First we will calculate the prime factors of 65167 and 65181.

Prime Factorization of 65167

Prime factors of 65167 are 65167. Prime factorization of 65167 in exponential form is:

65167 = 651671

Prime Factorization of 65181

Prime factors of 65181 are 3, 21727. Prime factorization of 65181 in exponential form is:

65181 = 31 × 217271

Now multiplying the highest exponent prime factors to calculate the LCM of 65167 and 65181.

LCM(65167,65181) = 651671 × 31 × 217271
LCM(65167,65181) = 4247650227