What is the Least Common Multiple of 93913 and 93919?
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 93913 and 93919 is 8820215047.
LCM(93913,93919) = 8820215047
Least Common Multiple of 93913 and 93919 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93913 and 93919, than apply into the LCM equation.
GCF(93913,93919) = 1
LCM(93913,93919) = ( 93913 × 93919) / 1
LCM(93913,93919) = 8820215047 / 1
LCM(93913,93919) = 8820215047
Least Common Multiple (LCM) of 93913 and 93919 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93913 and 93919. First we will calculate the prime factors of 93913 and 93919.
Prime Factorization of 93913
Prime factors of 93913 are 93913. Prime factorization of 93913 in exponential form is:
93913 = 939131
Prime Factorization of 93919
Prime factors of 93919 are 7, 13417. Prime factorization of 93919 in exponential form is:
93919 = 71 × 134171
Now multiplying the highest exponent prime factors to calculate the LCM of 93913 and 93919.
LCM(93913,93919) = 939131 × 71 × 134171
LCM(93913,93919) = 8820215047
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