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What is the Least Common Multiple of 84603 and 84623?

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 84603 and 84623 is 7159359669.

LCM(84603,84623) = 7159359669

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Least Common Multiple of 84603 and 84623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84603 and 84623, than apply into the LCM equation.

GCF(84603,84623) = 1
LCM(84603,84623) = ( 84603 × 84623) / 1
LCM(84603,84623) = 7159359669 / 1
LCM(84603,84623) = 7159359669

Least Common Multiple (LCM) of 84603 and 84623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84603 and 84623. First we will calculate the prime factors of 84603 and 84623.

Prime Factorization of 84603

Prime factors of 84603 are 3, 28201. Prime factorization of 84603 in exponential form is:

84603 = 31 × 282011

Prime Factorization of 84623

Prime factors of 84623 are 7, 11, 157. Prime factorization of 84623 in exponential form is:

84623 = 72 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 84603 and 84623.

LCM(84603,84623) = 31 × 282011 × 72 × 111 × 1571
LCM(84603,84623) = 7159359669