What is the Least Common Multiple of 91159 and 91177?
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 91159 and 91177 is 8311604143.
LCM(91159,91177) = 8311604143
Least Common Multiple of 91159 and 91177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91159 and 91177, than apply into the LCM equation.
GCF(91159,91177) = 1
LCM(91159,91177) = ( 91159 × 91177) / 1
LCM(91159,91177) = 8311604143 / 1
LCM(91159,91177) = 8311604143
Least Common Multiple (LCM) of 91159 and 91177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91159 and 91177. First we will calculate the prime factors of 91159 and 91177.
Prime Factorization of 91159
Prime factors of 91159 are 91159. Prime factorization of 91159 in exponential form is:
91159 = 911591
Prime Factorization of 91177
Prime factors of 91177 are 73, 1249. Prime factorization of 91177 in exponential form is:
91177 = 731 × 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 91159 and 91177.
LCM(91159,91177) = 911591 × 731 × 12491
LCM(91159,91177) = 8311604143
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