What is the Least Common Multiple of 91326 and 91337?
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 91326 and 91337 is 8341442862.
LCM(91326,91337) = 8341442862
Least Common Multiple of 91326 and 91337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91326 and 91337, than apply into the LCM equation.
GCF(91326,91337) = 1
LCM(91326,91337) = ( 91326 × 91337) / 1
LCM(91326,91337) = 8341442862 / 1
LCM(91326,91337) = 8341442862
Least Common Multiple (LCM) of 91326 and 91337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91326 and 91337. First we will calculate the prime factors of 91326 and 91337.
Prime Factorization of 91326
Prime factors of 91326 are 2, 3, 31, 491. Prime factorization of 91326 in exponential form is:
91326 = 21 × 31 × 311 × 4911
Prime Factorization of 91337
Prime factors of 91337 are 149, 613. Prime factorization of 91337 in exponential form is:
91337 = 1491 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 91326 and 91337.
LCM(91326,91337) = 21 × 31 × 311 × 4911 × 1491 × 6131
LCM(91326,91337) = 8341442862
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