What is the Least Common Multiple of 78779 and 78797?
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 78779 and 78797 is 6207548863.
LCM(78779,78797) = 6207548863
Least Common Multiple of 78779 and 78797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78779 and 78797, than apply into the LCM equation.
GCF(78779,78797) = 1
LCM(78779,78797) = ( 78779 × 78797) / 1
LCM(78779,78797) = 6207548863 / 1
LCM(78779,78797) = 6207548863
Least Common Multiple (LCM) of 78779 and 78797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78779 and 78797. First we will calculate the prime factors of 78779 and 78797.
Prime Factorization of 78779
Prime factors of 78779 are 78779. Prime factorization of 78779 in exponential form is:
78779 = 787791
Prime Factorization of 78797
Prime factors of 78797 are 78797. Prime factorization of 78797 in exponential form is:
78797 = 787971
Now multiplying the highest exponent prime factors to calculate the LCM of 78779 and 78797.
LCM(78779,78797) = 787791 × 787971
LCM(78779,78797) = 6207548863
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