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What is the Least Common Multiple of 4603 and 4621?

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 4603 and 4621 is 21270463.

LCM(4603,4621) = 21270463

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Least Common Multiple of 4603 and 4621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4603 and 4621, than apply into the LCM equation.

GCF(4603,4621) = 1
LCM(4603,4621) = ( 4603 × 4621) / 1
LCM(4603,4621) = 21270463 / 1
LCM(4603,4621) = 21270463

Least Common Multiple (LCM) of 4603 and 4621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4603 and 4621. First we will calculate the prime factors of 4603 and 4621.

Prime Factorization of 4603

Prime factors of 4603 are 4603. Prime factorization of 4603 in exponential form is:

4603 = 46031

Prime Factorization of 4621

Prime factors of 4621 are 4621. Prime factorization of 4621 in exponential form is:

4621 = 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 4603 and 4621.

LCM(4603,4621) = 46031 × 46211
LCM(4603,4621) = 21270463