What is the Least Common Multiple of 27895 and 27901?
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 27895 and 27901 is 778298395.
LCM(27895,27901) = 778298395
Least Common Multiple of 27895 and 27901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27895 and 27901, than apply into the LCM equation.
GCF(27895,27901) = 1
LCM(27895,27901) = ( 27895 × 27901) / 1
LCM(27895,27901) = 778298395 / 1
LCM(27895,27901) = 778298395
Least Common Multiple (LCM) of 27895 and 27901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27895 and 27901. First we will calculate the prime factors of 27895 and 27901.
Prime Factorization of 27895
Prime factors of 27895 are 5, 7, 797. Prime factorization of 27895 in exponential form is:
27895 = 51 × 71 × 7971
Prime Factorization of 27901
Prime factors of 27901 are 27901. Prime factorization of 27901 in exponential form is:
27901 = 279011
Now multiplying the highest exponent prime factors to calculate the LCM of 27895 and 27901.
LCM(27895,27901) = 51 × 71 × 7971 × 279011
LCM(27895,27901) = 778298395
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