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What is the Least Common Multiple of 4606 and 4623?

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 4606 and 4623 is 21293538.

LCM(4606,4623) = 21293538

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Least Common Multiple of 4606 and 4623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4606 and 4623, than apply into the LCM equation.

GCF(4606,4623) = 1
LCM(4606,4623) = ( 4606 × 4623) / 1
LCM(4606,4623) = 21293538 / 1
LCM(4606,4623) = 21293538

Least Common Multiple (LCM) of 4606 and 4623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4606 and 4623. First we will calculate the prime factors of 4606 and 4623.

Prime Factorization of 4606

Prime factors of 4606 are 2, 7, 47. Prime factorization of 4606 in exponential form is:

4606 = 21 × 72 × 471

Prime Factorization of 4623

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

4623 = 31 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4606 and 4623.

LCM(4606,4623) = 21 × 72 × 471 × 31 × 231 × 671
LCM(4606,4623) = 21293538