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What is the Least Common Multiple of 4611 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 4611 and 4621 is 21307431.

LCM(4611,4621) = 21307431

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Least Common Multiple of 4611 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 4611 and 4621, than apply into the LCM equation.

GCF(4611,4621) = 1
LCM(4611,4621) = ( 4611 × 4621) / 1
LCM(4611,4621) = 21307431 / 1
LCM(4611,4621) = 21307431

Least Common Multiple (LCM) of 4611 and 4621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4611 and 4621. First we will calculate the prime factors of 4611 and 4621.

Prime Factorization of 4611

Prime factors of 4611 are 3, 29, 53. Prime factorization of 4611 in exponential form is:

4611 = 31 × 291 × 531

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 4611 and 4621.

LCM(4611,4621) = 31 × 291 × 531 × 46211
LCM(4611,4621) = 21307431