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What is the Least Common Multiple of 46867 and 46876?

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 46867 and 46876 is 2196937492.

LCM(46867,46876) = 2196937492

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Least Common Multiple of 46867 and 46876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46867 and 46876, than apply into the LCM equation.

GCF(46867,46876) = 1
LCM(46867,46876) = ( 46867 × 46876) / 1
LCM(46867,46876) = 2196937492 / 1
LCM(46867,46876) = 2196937492

Least Common Multiple (LCM) of 46867 and 46876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46867 and 46876. First we will calculate the prime factors of 46867 and 46876.

Prime Factorization of 46867

Prime factors of 46867 are 46867. Prime factorization of 46867 in exponential form is:

46867 = 468671

Prime Factorization of 46876

Prime factors of 46876 are 2, 11719. Prime factorization of 46876 in exponential form is:

46876 = 22 × 117191

Now multiplying the highest exponent prime factors to calculate the LCM of 46867 and 46876.

LCM(46867,46876) = 468671 × 22 × 117191
LCM(46867,46876) = 2196937492