What is the Least Common Multiple of 91183 and 91201?
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 91183 and 91201 is 8315980783.
LCM(91183,91201) = 8315980783
Least Common Multiple of 91183 and 91201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91183 and 91201, than apply into the LCM equation.
GCF(91183,91201) = 1
LCM(91183,91201) = ( 91183 × 91201) / 1
LCM(91183,91201) = 8315980783 / 1
LCM(91183,91201) = 8315980783
Least Common Multiple (LCM) of 91183 and 91201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91183 and 91201. First we will calculate the prime factors of 91183 and 91201.
Prime Factorization of 91183
Prime factors of 91183 are 91183. Prime factorization of 91183 in exponential form is:
91183 = 911831
Prime Factorization of 91201
Prime factors of 91201 are 11, 8291. Prime factorization of 91201 in exponential form is:
91201 = 111 × 82911
Now multiplying the highest exponent prime factors to calculate the LCM of 91183 and 91201.
LCM(91183,91201) = 911831 × 111 × 82911
LCM(91183,91201) = 8315980783
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