What is the Least Common Multiple of 77885 and 77901?
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 77885 and 77901 is 6067319385.
LCM(77885,77901) = 6067319385
Least Common Multiple of 77885 and 77901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77885 and 77901, than apply into the LCM equation.
GCF(77885,77901) = 1
LCM(77885,77901) = ( 77885 × 77901) / 1
LCM(77885,77901) = 6067319385 / 1
LCM(77885,77901) = 6067319385
Least Common Multiple (LCM) of 77885 and 77901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77885 and 77901. First we will calculate the prime factors of 77885 and 77901.
Prime Factorization of 77885
Prime factors of 77885 are 5, 37, 421. Prime factorization of 77885 in exponential form is:
77885 = 51 × 371 × 4211
Prime Factorization of 77901
Prime factors of 77901 are 3, 23, 1129. Prime factorization of 77901 in exponential form is:
77901 = 31 × 231 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 77885 and 77901.
LCM(77885,77901) = 51 × 371 × 4211 × 31 × 231 × 11291
LCM(77885,77901) = 6067319385
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