What is the Least Common Multiple of 91535 and 91551?
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 91535 and 91551 is 8380120785.
LCM(91535,91551) = 8380120785
Least Common Multiple of 91535 and 91551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91535 and 91551, than apply into the LCM equation.
GCF(91535,91551) = 1
LCM(91535,91551) = ( 91535 × 91551) / 1
LCM(91535,91551) = 8380120785 / 1
LCM(91535,91551) = 8380120785
Least Common Multiple (LCM) of 91535 and 91551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91535 and 91551. First we will calculate the prime factors of 91535 and 91551.
Prime Factorization of 91535
Prime factors of 91535 are 5, 18307. Prime factorization of 91535 in exponential form is:
91535 = 51 × 183071
Prime Factorization of 91551
Prime factors of 91551 are 3, 30517. Prime factorization of 91551 in exponential form is:
91551 = 31 × 305171
Now multiplying the highest exponent prime factors to calculate the LCM of 91535 and 91551.
LCM(91535,91551) = 51 × 183071 × 31 × 305171
LCM(91535,91551) = 8380120785
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