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What is the Least Common Multiple of 4623 and 4630?

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 4623 and 4630 is 21404490.

LCM(4623,4630) = 21404490

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Least Common Multiple of 4623 and 4630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4623 and 4630, than apply into the LCM equation.

GCF(4623,4630) = 1
LCM(4623,4630) = ( 4623 × 4630) / 1
LCM(4623,4630) = 21404490 / 1
LCM(4623,4630) = 21404490

Least Common Multiple (LCM) of 4623 and 4630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4623 and 4630. First we will calculate the prime factors of 4623 and 4630.

Prime Factorization of 4623

Prime factors of 4623 are 3, 23, 67. Prime factorization of 4623 in exponential form is:

4623 = 31 × 231 × 671

Prime Factorization of 4630

Prime factors of 4630 are 2, 5, 463. Prime factorization of 4630 in exponential form is:

4630 = 21 × 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 4623 and 4630.

LCM(4623,4630) = 31 × 231 × 671 × 21 × 51 × 4631
LCM(4623,4630) = 21404490