What is the Least Common Multiple of 81087 and 81097?
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 81087 and 81097 is 6575912439.
LCM(81087,81097) = 6575912439
Least Common Multiple of 81087 and 81097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81087 and 81097, than apply into the LCM equation.
GCF(81087,81097) = 1
LCM(81087,81097) = ( 81087 × 81097) / 1
LCM(81087,81097) = 6575912439 / 1
LCM(81087,81097) = 6575912439
Least Common Multiple (LCM) of 81087 and 81097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81087 and 81097. First we will calculate the prime factors of 81087 and 81097.
Prime Factorization of 81087
Prime factors of 81087 are 3, 151, 179. Prime factorization of 81087 in exponential form is:
81087 = 31 × 1511 × 1791
Prime Factorization of 81097
Prime factors of 81097 are 81097. Prime factorization of 81097 in exponential form is:
81097 = 810971
Now multiplying the highest exponent prime factors to calculate the LCM of 81087 and 81097.
LCM(81087,81097) = 31 × 1511 × 1791 × 810971
LCM(81087,81097) = 6575912439
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