What is the Least Common Multiple of 9047 and 9052?
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 9047 and 9052 is 81893444.
LCM(9047,9052) = 81893444
Least Common Multiple of 9047 and 9052 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9047 and 9052, than apply into the LCM equation.
GCF(9047,9052) = 1
LCM(9047,9052) = ( 9047 × 9052) / 1
LCM(9047,9052) = 81893444 / 1
LCM(9047,9052) = 81893444
Least Common Multiple (LCM) of 9047 and 9052 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9047 and 9052. First we will calculate the prime factors of 9047 and 9052.
Prime Factorization of 9047
Prime factors of 9047 are 83, 109. Prime factorization of 9047 in exponential form is:
9047 = 831 × 1091
Prime Factorization of 9052
Prime factors of 9052 are 2, 31, 73. Prime factorization of 9052 in exponential form is:
9052 = 22 × 311 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 9047 and 9052.
LCM(9047,9052) = 831 × 1091 × 22 × 311 × 731
LCM(9047,9052) = 81893444
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