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What is the Least Common Multiple of 4658 and 4671?

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 4658 and 4671 is 21757518.

LCM(4658,4671) = 21757518

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Least Common Multiple of 4658 and 4671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4658 and 4671, than apply into the LCM equation.

GCF(4658,4671) = 1
LCM(4658,4671) = ( 4658 × 4671) / 1
LCM(4658,4671) = 21757518 / 1
LCM(4658,4671) = 21757518

Least Common Multiple (LCM) of 4658 and 4671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4658 and 4671. First we will calculate the prime factors of 4658 and 4671.

Prime Factorization of 4658

Prime factors of 4658 are 2, 17, 137. Prime factorization of 4658 in exponential form is:

4658 = 21 × 171 × 1371

Prime Factorization of 4671

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

4671 = 33 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4658 and 4671.

LCM(4658,4671) = 21 × 171 × 1371 × 33 × 1731
LCM(4658,4671) = 21757518