What is the Least Common Multiple of 42383 and 42391?
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 42383 and 42391 is 1796657753.
LCM(42383,42391) = 1796657753
Least Common Multiple of 42383 and 42391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42383 and 42391, than apply into the LCM equation.
GCF(42383,42391) = 1
LCM(42383,42391) = ( 42383 × 42391) / 1
LCM(42383,42391) = 1796657753 / 1
LCM(42383,42391) = 1796657753
Least Common Multiple (LCM) of 42383 and 42391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42383 and 42391. First we will calculate the prime factors of 42383 and 42391.
Prime Factorization of 42383
Prime factors of 42383 are 11, 3853. Prime factorization of 42383 in exponential form is:
42383 = 111 × 38531
Prime Factorization of 42391
Prime factors of 42391 are 42391. Prime factorization of 42391 in exponential form is:
42391 = 423911
Now multiplying the highest exponent prime factors to calculate the LCM of 42383 and 42391.
LCM(42383,42391) = 111 × 38531 × 423911
LCM(42383,42391) = 1796657753
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