What is the Least Common Multiple of 77855 and 77859?
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 77855 and 77859 is 6061712445.
LCM(77855,77859) = 6061712445
Least Common Multiple of 77855 and 77859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77855 and 77859, than apply into the LCM equation.
GCF(77855,77859) = 1
LCM(77855,77859) = ( 77855 × 77859) / 1
LCM(77855,77859) = 6061712445 / 1
LCM(77855,77859) = 6061712445
Least Common Multiple (LCM) of 77855 and 77859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77855 and 77859. First we will calculate the prime factors of 77855 and 77859.
Prime Factorization of 77855
Prime factors of 77855 are 5, 23, 677. Prime factorization of 77855 in exponential form is:
77855 = 51 × 231 × 6771
Prime Factorization of 77859
Prime factors of 77859 are 3, 41, 211. Prime factorization of 77859 in exponential form is:
77859 = 32 × 411 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 77855 and 77859.
LCM(77855,77859) = 51 × 231 × 6771 × 32 × 411 × 2111
LCM(77855,77859) = 6061712445
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