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What is the Least Common Multiple of 79433 and 79452?

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 79433 and 79452 is 6311110716.

LCM(79433,79452) = 6311110716

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Least Common Multiple of 79433 and 79452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79433 and 79452, than apply into the LCM equation.

GCF(79433,79452) = 1
LCM(79433,79452) = ( 79433 × 79452) / 1
LCM(79433,79452) = 6311110716 / 1
LCM(79433,79452) = 6311110716

Least Common Multiple (LCM) of 79433 and 79452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79433 and 79452. First we will calculate the prime factors of 79433 and 79452.

Prime Factorization of 79433

Prime factors of 79433 are 79433. Prime factorization of 79433 in exponential form is:

79433 = 794331

Prime Factorization of 79452

Prime factors of 79452 are 2, 3, 2207. Prime factorization of 79452 in exponential form is:

79452 = 22 × 32 × 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 79433 and 79452.

LCM(79433,79452) = 794331 × 22 × 32 × 22071
LCM(79433,79452) = 6311110716