What is the Least Common Multiple of 87779 and 87793?
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 87793 is 7706381747.
LCM(87779,87793) = 7706381747
Least Common Multiple of 87779 and 87793 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 87793, than apply into the LCM equation.
GCF(87779,87793) = 1
LCM(87779,87793) = ( 87779 × 87793) / 1
LCM(87779,87793) = 7706381747 / 1
LCM(87779,87793) = 7706381747
Least Common Multiple (LCM) of 87779 and 87793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87779 and 87793. First we will calculate the prime factors of 87779 and 87793.
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 87793
Prime factors of 87793 are 87793. Prime factorization of 87793 in exponential form is:
87793 = 877931
Now multiplying the highest exponent prime factors to calculate the LCM of 87779 and 87793.
LCM(87779,87793) = 611 × 14391 × 877931
LCM(87779,87793) = 7706381747
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