What is the Least Common Multiple of 93941 and 93946?
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 93941 and 93946 is 8825381186.
LCM(93941,93946) = 8825381186
Least Common Multiple of 93941 and 93946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93941 and 93946, than apply into the LCM equation.
GCF(93941,93946) = 1
LCM(93941,93946) = ( 93941 × 93946) / 1
LCM(93941,93946) = 8825381186 / 1
LCM(93941,93946) = 8825381186
Least Common Multiple (LCM) of 93941 and 93946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93941 and 93946. First we will calculate the prime factors of 93941 and 93946.
Prime Factorization of 93941
Prime factors of 93941 are 93941. Prime factorization of 93941 in exponential form is:
93941 = 939411
Prime Factorization of 93946
Prime factors of 93946 are 2, 107, 439. Prime factorization of 93946 in exponential form is:
93946 = 21 × 1071 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 93941 and 93946.
LCM(93941,93946) = 939411 × 21 × 1071 × 4391
LCM(93941,93946) = 8825381186
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