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What is the Least Common Multiple of 79433 and 79447?

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 79447 is 6310713551.

LCM(79433,79447) = 6310713551

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Least Common Multiple of 79433 and 79447 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 79447, than apply into the LCM equation.

GCF(79433,79447) = 1
LCM(79433,79447) = ( 79433 × 79447) / 1
LCM(79433,79447) = 6310713551 / 1
LCM(79433,79447) = 6310713551

Least Common Multiple (LCM) of 79433 and 79447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79433 and 79447. First we will calculate the prime factors of 79433 and 79447.

Prime Factorization of 79433

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

79433 = 794331

Prime Factorization of 79447

Prime factors of 79447 are 53, 1499. Prime factorization of 79447 in exponential form is:

79447 = 531 × 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 79433 and 79447.

LCM(79433,79447) = 794331 × 531 × 14991
LCM(79433,79447) = 6310713551