What is the Least Common Multiple of 81064 and 81081?
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 81064 and 81081 is 6572750184.
LCM(81064,81081) = 6572750184
Least Common Multiple of 81064 and 81081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81064 and 81081, than apply into the LCM equation.
GCF(81064,81081) = 1
LCM(81064,81081) = ( 81064 × 81081) / 1
LCM(81064,81081) = 6572750184 / 1
LCM(81064,81081) = 6572750184
Least Common Multiple (LCM) of 81064 and 81081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81064 and 81081. First we will calculate the prime factors of 81064 and 81081.
Prime Factorization of 81064
Prime factors of 81064 are 2, 10133. Prime factorization of 81064 in exponential form is:
81064 = 23 × 101331
Prime Factorization of 81081
Prime factors of 81081 are 3, 7, 11, 13. Prime factorization of 81081 in exponential form is:
81081 = 34 × 71 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 81064 and 81081.
LCM(81064,81081) = 23 × 101331 × 34 × 71 × 111 × 131
LCM(81064,81081) = 6572750184
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