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What is the Least Common Multiple of 46171 and 46177?

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 46171 and 46177 is 2132038267.

LCM(46171,46177) = 2132038267

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Least Common Multiple of 46171 and 46177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46171 and 46177, than apply into the LCM equation.

GCF(46171,46177) = 1
LCM(46171,46177) = ( 46171 × 46177) / 1
LCM(46171,46177) = 2132038267 / 1
LCM(46171,46177) = 2132038267

Least Common Multiple (LCM) of 46171 and 46177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46171 and 46177. First we will calculate the prime factors of 46171 and 46177.

Prime Factorization of 46171

Prime factors of 46171 are 46171. Prime factorization of 46171 in exponential form is:

46171 = 461711

Prime Factorization of 46177

Prime factors of 46177 are 61, 757. Prime factorization of 46177 in exponential form is:

46177 = 611 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 46171 and 46177.

LCM(46171,46177) = 461711 × 611 × 7571
LCM(46171,46177) = 2132038267