What is the Least Common Multiple of 91105 and 91111?
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 91105 and 91111 is 8300667655.
LCM(91105,91111) = 8300667655
Least Common Multiple of 91105 and 91111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91105 and 91111, than apply into the LCM equation.
GCF(91105,91111) = 1
LCM(91105,91111) = ( 91105 × 91111) / 1
LCM(91105,91111) = 8300667655 / 1
LCM(91105,91111) = 8300667655
Least Common Multiple (LCM) of 91105 and 91111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91105 and 91111. First we will calculate the prime factors of 91105 and 91111.
Prime Factorization of 91105
Prime factors of 91105 are 5, 7, 19, 137. Prime factorization of 91105 in exponential form is:
91105 = 51 × 71 × 191 × 1371
Prime Factorization of 91111
Prime factors of 91111 are 179, 509. Prime factorization of 91111 in exponential form is:
91111 = 1791 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 91105 and 91111.
LCM(91105,91111) = 51 × 71 × 191 × 1371 × 1791 × 5091
LCM(91105,91111) = 8300667655
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