What is the Least Common Multiple of 91222 and 91231?
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 91222 and 91231 is 8322274282.
LCM(91222,91231) = 8322274282
Least Common Multiple of 91222 and 91231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91222 and 91231, than apply into the LCM equation.
GCF(91222,91231) = 1
LCM(91222,91231) = ( 91222 × 91231) / 1
LCM(91222,91231) = 8322274282 / 1
LCM(91222,91231) = 8322274282
Least Common Multiple (LCM) of 91222 and 91231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91222 and 91231. First we will calculate the prime factors of 91222 and 91231.
Prime Factorization of 91222
Prime factors of 91222 are 2, 17, 2683. Prime factorization of 91222 in exponential form is:
91222 = 21 × 171 × 26831
Prime Factorization of 91231
Prime factors of 91231 are 7, 13033. Prime factorization of 91231 in exponential form is:
91231 = 71 × 130331
Now multiplying the highest exponent prime factors to calculate the LCM of 91222 and 91231.
LCM(91222,91231) = 21 × 171 × 26831 × 71 × 130331
LCM(91222,91231) = 8322274282
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