What is the Least Common Multiple of 87779 and 87797?
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 87779 and 87797 is 7706732863.
LCM(87779,87797) = 7706732863
Least Common Multiple of 87779 and 87797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87779 and 87797, than apply into the LCM equation.
GCF(87779,87797) = 1
LCM(87779,87797) = ( 87779 × 87797) / 1
LCM(87779,87797) = 7706732863 / 1
LCM(87779,87797) = 7706732863
Least Common Multiple (LCM) of 87779 and 87797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87779 and 87797. First we will calculate the prime factors of 87779 and 87797.
Prime Factorization of 87779
Prime factors of 87779 are 61, 1439. Prime factorization of 87779 in exponential form is:
87779 = 611 × 14391
Prime Factorization of 87797
Prime factors of 87797 are 87797. Prime factorization of 87797 in exponential form is:
87797 = 877971
Now multiplying the highest exponent prime factors to calculate the LCM of 87779 and 87797.
LCM(87779,87797) = 611 × 14391 × 877971
LCM(87779,87797) = 7706732863
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