What is the Least Common Multiple of 91082 and 91095?
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 91082 and 91095 is 8297114790.
LCM(91082,91095) = 8297114790
Least Common Multiple of 91082 and 91095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91082 and 91095, than apply into the LCM equation.
GCF(91082,91095) = 1
LCM(91082,91095) = ( 91082 × 91095) / 1
LCM(91082,91095) = 8297114790 / 1
LCM(91082,91095) = 8297114790
Least Common Multiple (LCM) of 91082 and 91095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91082 and 91095. First we will calculate the prime factors of 91082 and 91095.
Prime Factorization of 91082
Prime factors of 91082 are 2, 45541. Prime factorization of 91082 in exponential form is:
91082 = 21 × 455411
Prime Factorization of 91095
Prime factors of 91095 are 3, 5, 6073. Prime factorization of 91095 in exponential form is:
91095 = 31 × 51 × 60731
Now multiplying the highest exponent prime factors to calculate the LCM of 91082 and 91095.
LCM(91082,91095) = 21 × 455411 × 31 × 51 × 60731
LCM(91082,91095) = 8297114790
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