What is the Least Common Multiple of 91099 and 91105?
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 91099 and 91105 is 8299574395.
LCM(91099,91105) = 8299574395
Least Common Multiple of 91099 and 91105 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91099 and 91105, than apply into the LCM equation.
GCF(91099,91105) = 1
LCM(91099,91105) = ( 91099 × 91105) / 1
LCM(91099,91105) = 8299574395 / 1
LCM(91099,91105) = 8299574395
Least Common Multiple (LCM) of 91099 and 91105 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91099 and 91105. First we will calculate the prime factors of 91099 and 91105.
Prime Factorization of 91099
Prime factors of 91099 are 91099. Prime factorization of 91099 in exponential form is:
91099 = 910991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 91099 and 91105.
LCM(91099,91105) = 910991 × 51 × 71 × 191 × 1371
LCM(91099,91105) = 8299574395
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