What is the Least Common Multiple of 79698 and 79717?
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 79698 and 79717 is 6353285466.
LCM(79698,79717) = 6353285466
Least Common Multiple of 79698 and 79717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79698 and 79717, than apply into the LCM equation.
GCF(79698,79717) = 1
LCM(79698,79717) = ( 79698 × 79717) / 1
LCM(79698,79717) = 6353285466 / 1
LCM(79698,79717) = 6353285466
Least Common Multiple (LCM) of 79698 and 79717 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79698 and 79717. First we will calculate the prime factors of 79698 and 79717.
Prime Factorization of 79698
Prime factors of 79698 are 2, 3, 37, 359. Prime factorization of 79698 in exponential form is:
79698 = 21 × 31 × 371 × 3591
Prime Factorization of 79717
Prime factors of 79717 are 11, 7247. Prime factorization of 79717 in exponential form is:
79717 = 111 × 72471
Now multiplying the highest exponent prime factors to calculate the LCM of 79698 and 79717.
LCM(79698,79717) = 21 × 31 × 371 × 3591 × 111 × 72471
LCM(79698,79717) = 6353285466
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