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What is the Least Common Multiple of 46169 and 46188?

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 46169 and 46188 is 2132453772.

LCM(46169,46188) = 2132453772

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Least Common Multiple of 46169 and 46188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46169 and 46188, than apply into the LCM equation.

GCF(46169,46188) = 1
LCM(46169,46188) = ( 46169 × 46188) / 1
LCM(46169,46188) = 2132453772 / 1
LCM(46169,46188) = 2132453772

Least Common Multiple (LCM) of 46169 and 46188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46169 and 46188. First we will calculate the prime factors of 46169 and 46188.

Prime Factorization of 46169

Prime factors of 46169 are 137, 337. Prime factorization of 46169 in exponential form is:

46169 = 1371 × 3371

Prime Factorization of 46188

Prime factors of 46188 are 2, 3, 1283. Prime factorization of 46188 in exponential form is:

46188 = 22 × 32 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 46169 and 46188.

LCM(46169,46188) = 1371 × 3371 × 22 × 32 × 12831
LCM(46169,46188) = 2132453772