What is the Least Common Multiple of 91155 and 91159?
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 91155 and 91159 is 8309598645.
LCM(91155,91159) = 8309598645
Least Common Multiple of 91155 and 91159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91155 and 91159, than apply into the LCM equation.
GCF(91155,91159) = 1
LCM(91155,91159) = ( 91155 × 91159) / 1
LCM(91155,91159) = 8309598645 / 1
LCM(91155,91159) = 8309598645
Least Common Multiple (LCM) of 91155 and 91159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91155 and 91159. First we will calculate the prime factors of 91155 and 91159.
Prime Factorization of 91155
Prime factors of 91155 are 3, 5, 59, 103. Prime factorization of 91155 in exponential form is:
91155 = 31 × 51 × 591 × 1031
Prime Factorization of 91159
Prime factors of 91159 are 91159. Prime factorization of 91159 in exponential form is:
91159 = 911591
Now multiplying the highest exponent prime factors to calculate the LCM of 91155 and 91159.
LCM(91155,91159) = 31 × 51 × 591 × 1031 × 911591
LCM(91155,91159) = 8309598645
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