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What is the Least Common Multiple of 4583 and 4602?

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 4583 and 4602 is 21090966.

LCM(4583,4602) = 21090966

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Least Common Multiple of 4583 and 4602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4583 and 4602, than apply into the LCM equation.

GCF(4583,4602) = 1
LCM(4583,4602) = ( 4583 × 4602) / 1
LCM(4583,4602) = 21090966 / 1
LCM(4583,4602) = 21090966

Least Common Multiple (LCM) of 4583 and 4602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4583 and 4602. First we will calculate the prime factors of 4583 and 4602.

Prime Factorization of 4583

Prime factors of 4583 are 4583. Prime factorization of 4583 in exponential form is:

4583 = 45831

Prime Factorization of 4602

Prime factors of 4602 are 2, 3, 13, 59. Prime factorization of 4602 in exponential form is:

4602 = 21 × 31 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 4583 and 4602.

LCM(4583,4602) = 45831 × 21 × 31 × 131 × 591
LCM(4583,4602) = 21090966