What is the Least Common Multiple of 91417 and 91427?
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 91417 and 91427 is 8357982059.
LCM(91417,91427) = 8357982059
Least Common Multiple of 91417 and 91427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91417 and 91427, than apply into the LCM equation.
GCF(91417,91427) = 1
LCM(91417,91427) = ( 91417 × 91427) / 1
LCM(91417,91427) = 8357982059 / 1
LCM(91417,91427) = 8357982059
Least Common Multiple (LCM) of 91417 and 91427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91417 and 91427. First we will calculate the prime factors of 91417 and 91427.
Prime Factorization of 91417
Prime factors of 91417 are 113, 809. Prime factorization of 91417 in exponential form is:
91417 = 1131 × 8091
Prime Factorization of 91427
Prime factors of 91427 are 7, 37, 353. Prime factorization of 91427 in exponential form is:
91427 = 71 × 371 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 91417 and 91427.
LCM(91417,91427) = 1131 × 8091 × 71 × 371 × 3531
LCM(91417,91427) = 8357982059
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