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What is the Least Common Multiple of 4617 and 4633?

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 4617 and 4633 is 21390561.

LCM(4617,4633) = 21390561

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Least Common Multiple of 4617 and 4633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4617 and 4633, than apply into the LCM equation.

GCF(4617,4633) = 1
LCM(4617,4633) = ( 4617 × 4633) / 1
LCM(4617,4633) = 21390561 / 1
LCM(4617,4633) = 21390561

Least Common Multiple (LCM) of 4617 and 4633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4617 and 4633. First we will calculate the prime factors of 4617 and 4633.

Prime Factorization of 4617

Prime factors of 4617 are 3, 19. Prime factorization of 4617 in exponential form is:

4617 = 35 × 191

Prime Factorization of 4633

Prime factors of 4633 are 41, 113. Prime factorization of 4633 in exponential form is:

4633 = 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4617 and 4633.

LCM(4617,4633) = 35 × 191 × 411 × 1131
LCM(4617,4633) = 21390561