What is the Least Common Multiple of 84779 and 84797?
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 84779 and 84797 is 7189004863.
LCM(84779,84797) = 7189004863
Least Common Multiple of 84779 and 84797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84779 and 84797, than apply into the LCM equation.
GCF(84779,84797) = 1
LCM(84779,84797) = ( 84779 × 84797) / 1
LCM(84779,84797) = 7189004863 / 1
LCM(84779,84797) = 7189004863
Least Common Multiple (LCM) of 84779 and 84797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84779 and 84797. First we will calculate the prime factors of 84779 and 84797.
Prime Factorization of 84779
Prime factors of 84779 are 17, 4987. Prime factorization of 84779 in exponential form is:
84779 = 171 × 49871
Prime Factorization of 84797
Prime factors of 84797 are 19, 4463. Prime factorization of 84797 in exponential form is:
84797 = 191 × 44631
Now multiplying the highest exponent prime factors to calculate the LCM of 84779 and 84797.
LCM(84779,84797) = 171 × 49871 × 191 × 44631
LCM(84779,84797) = 7189004863
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