What is the Least Common Multiple of 91427 and 91447?
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 91427 and 91447 is 8360724869.
LCM(91427,91447) = 8360724869
Least Common Multiple of 91427 and 91447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91427 and 91447, than apply into the LCM equation.
GCF(91427,91447) = 1
LCM(91427,91447) = ( 91427 × 91447) / 1
LCM(91427,91447) = 8360724869 / 1
LCM(91427,91447) = 8360724869
Least Common Multiple (LCM) of 91427 and 91447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91427 and 91447. First we will calculate the prime factors of 91427 and 91447.
Prime Factorization of 91427
Prime factors of 91427 are 7, 37, 353. Prime factorization of 91427 in exponential form is:
91427 = 71 × 371 × 3531
Prime Factorization of 91447
Prime factors of 91447 are 19, 4813. Prime factorization of 91447 in exponential form is:
91447 = 191 × 48131
Now multiplying the highest exponent prime factors to calculate the LCM of 91427 and 91447.
LCM(91427,91447) = 71 × 371 × 3531 × 191 × 48131
LCM(91427,91447) = 8360724869
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