What is the Least Common Multiple of 91319 and 91339?
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 91319 and 91339 is 8340986141.
LCM(91319,91339) = 8340986141
Least Common Multiple of 91319 and 91339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91319 and 91339, than apply into the LCM equation.
GCF(91319,91339) = 1
LCM(91319,91339) = ( 91319 × 91339) / 1
LCM(91319,91339) = 8340986141 / 1
LCM(91319,91339) = 8340986141
Least Common Multiple (LCM) of 91319 and 91339 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91319 and 91339. First we will calculate the prime factors of 91319 and 91339.
Prime Factorization of 91319
Prime factors of 91319 are 53, 1723. Prime factorization of 91319 in exponential form is:
91319 = 531 × 17231
Prime Factorization of 91339
Prime factors of 91339 are 241, 379. Prime factorization of 91339 in exponential form is:
91339 = 2411 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 91319 and 91339.
LCM(91319,91339) = 531 × 17231 × 2411 × 3791
LCM(91319,91339) = 8340986141
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