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What is the Least Common Multiple of 4671 and 4691?

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 4671 and 4691 is 21911661.

LCM(4671,4691) = 21911661

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Least Common Multiple of 4671 and 4691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4671 and 4691, than apply into the LCM equation.

GCF(4671,4691) = 1
LCM(4671,4691) = ( 4671 × 4691) / 1
LCM(4671,4691) = 21911661 / 1
LCM(4671,4691) = 21911661

Least Common Multiple (LCM) of 4671 and 4691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4671 and 4691. First we will calculate the prime factors of 4671 and 4691.

Prime Factorization of 4671

Prime factors of 4671 are 3, 173. Prime factorization of 4671 in exponential form is:

4671 = 33 × 1731

Prime Factorization of 4691

Prime factors of 4691 are 4691. Prime factorization of 4691 in exponential form is:

4691 = 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 4671 and 4691.

LCM(4671,4691) = 33 × 1731 × 46911
LCM(4671,4691) = 21911661