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What is the Least Common Multiple of 4661 and 4668?

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 4661 and 4668 is 21757548.

LCM(4661,4668) = 21757548

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Least Common Multiple of 4661 and 4668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4661 and 4668, than apply into the LCM equation.

GCF(4661,4668) = 1
LCM(4661,4668) = ( 4661 × 4668) / 1
LCM(4661,4668) = 21757548 / 1
LCM(4661,4668) = 21757548

Least Common Multiple (LCM) of 4661 and 4668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4661 and 4668. First we will calculate the prime factors of 4661 and 4668.

Prime Factorization of 4661

Prime factors of 4661 are 59, 79. Prime factorization of 4661 in exponential form is:

4661 = 591 × 791

Prime Factorization of 4668

Prime factors of 4668 are 2, 3, 389. Prime factorization of 4668 in exponential form is:

4668 = 22 × 31 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 4661 and 4668.

LCM(4661,4668) = 591 × 791 × 22 × 31 × 3891
LCM(4661,4668) = 21757548