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What is the Least Common Multiple of 79673 and 79681?

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 79673 and 79681 is 6348424313.

LCM(79673,79681) = 6348424313

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Least Common Multiple of 79673 and 79681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79673 and 79681, than apply into the LCM equation.

GCF(79673,79681) = 1
LCM(79673,79681) = ( 79673 × 79681) / 1
LCM(79673,79681) = 6348424313 / 1
LCM(79673,79681) = 6348424313

Least Common Multiple (LCM) of 79673 and 79681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79673 and 79681. First we will calculate the prime factors of 79673 and 79681.

Prime Factorization of 79673

Prime factors of 79673 are 11, 7243. Prime factorization of 79673 in exponential form is:

79673 = 111 × 72431

Prime Factorization of 79681

Prime factors of 79681 are 7, 11383. Prime factorization of 79681 in exponential form is:

79681 = 71 × 113831

Now multiplying the highest exponent prime factors to calculate the LCM of 79673 and 79681.

LCM(79673,79681) = 111 × 72431 × 71 × 113831
LCM(79673,79681) = 6348424313