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What is the Least Common Multiple of 79595 and 79603?

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 79595 and 79603 is 6336000785.

LCM(79595,79603) = 6336000785

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Least Common Multiple of 79595 and 79603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79595 and 79603, than apply into the LCM equation.

GCF(79595,79603) = 1
LCM(79595,79603) = ( 79595 × 79603) / 1
LCM(79595,79603) = 6336000785 / 1
LCM(79595,79603) = 6336000785

Least Common Multiple (LCM) of 79595 and 79603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79595 and 79603. First we will calculate the prime factors of 79595 and 79603.

Prime Factorization of 79595

Prime factors of 79595 are 5, 15919. Prime factorization of 79595 in exponential form is:

79595 = 51 × 159191

Prime Factorization of 79603

Prime factors of 79603 are 23, 3461. Prime factorization of 79603 in exponential form is:

79603 = 231 × 34611

Now multiplying the highest exponent prime factors to calculate the LCM of 79595 and 79603.

LCM(79595,79603) = 51 × 159191 × 231 × 34611
LCM(79595,79603) = 6336000785