What is the Least Common Multiple of 93941 and 93959?
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 93959 is 8826602419.
LCM(93941,93959) = 8826602419
Least Common Multiple of 93941 and 93959 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 93959, than apply into the LCM equation.
GCF(93941,93959) = 1
LCM(93941,93959) = ( 93941 × 93959) / 1
LCM(93941,93959) = 8826602419 / 1
LCM(93941,93959) = 8826602419
Least Common Multiple (LCM) of 93941 and 93959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93941 and 93959. First we will calculate the prime factors of 93941 and 93959.
Prime Factorization of 93941
Prime factors of 93941 are 93941. Prime factorization of 93941 in exponential form is:
93941 = 939411
Prime Factorization of 93959
Prime factors of 93959 are 17, 5527. Prime factorization of 93959 in exponential form is:
93959 = 171 × 55271
Now multiplying the highest exponent prime factors to calculate the LCM of 93941 and 93959.
LCM(93941,93959) = 939411 × 171 × 55271
LCM(93941,93959) = 8826602419
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