What is the Least Common Multiple of 81033 and 81050?
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 81033 and 81050 is 6567724650.
LCM(81033,81050) = 6567724650
Least Common Multiple of 81033 and 81050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81033 and 81050, than apply into the LCM equation.
GCF(81033,81050) = 1
LCM(81033,81050) = ( 81033 × 81050) / 1
LCM(81033,81050) = 6567724650 / 1
LCM(81033,81050) = 6567724650
Least Common Multiple (LCM) of 81033 and 81050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81033 and 81050. First we will calculate the prime factors of 81033 and 81050.
Prime Factorization of 81033
Prime factors of 81033 are 3, 27011. Prime factorization of 81033 in exponential form is:
81033 = 31 × 270111
Prime Factorization of 81050
Prime factors of 81050 are 2, 5, 1621. Prime factorization of 81050 in exponential form is:
81050 = 21 × 52 × 16211
Now multiplying the highest exponent prime factors to calculate the LCM of 81033 and 81050.
LCM(81033,81050) = 31 × 270111 × 21 × 52 × 16211
LCM(81033,81050) = 6567724650
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