What is the Least Common Multiple of 91331 and 91336?
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 91331 and 91336 is 8341808216.
LCM(91331,91336) = 8341808216
Least Common Multiple of 91331 and 91336 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91331 and 91336, than apply into the LCM equation.
GCF(91331,91336) = 1
LCM(91331,91336) = ( 91331 × 91336) / 1
LCM(91331,91336) = 8341808216 / 1
LCM(91331,91336) = 8341808216
Least Common Multiple (LCM) of 91331 and 91336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91331 and 91336. First we will calculate the prime factors of 91331 and 91336.
Prime Factorization of 91331
Prime factors of 91331 are 91331. Prime factorization of 91331 in exponential form is:
91331 = 913311
Prime Factorization of 91336
Prime factors of 91336 are 2, 7, 233. Prime factorization of 91336 in exponential form is:
91336 = 23 × 72 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 91331 and 91336.
LCM(91331,91336) = 913311 × 23 × 72 × 2331
LCM(91331,91336) = 8341808216
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