What is the Least Common Multiple of 3023 and 3034?
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 3023 and 3034 is 9171782.
LCM(3023,3034) = 9171782
Least Common Multiple of 3023 and 3034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3023 and 3034, than apply into the LCM equation.
GCF(3023,3034) = 1
LCM(3023,3034) = ( 3023 × 3034) / 1
LCM(3023,3034) = 9171782 / 1
LCM(3023,3034) = 9171782
Least Common Multiple (LCM) of 3023 and 3034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3023 and 3034. First we will calculate the prime factors of 3023 and 3034.
Prime Factorization of 3023
Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:
3023 = 30231
Prime Factorization of 3034
Prime factors of 3034 are 2, 37, 41. Prime factorization of 3034 in exponential form is:
3034 = 21 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 3023 and 3034.
LCM(3023,3034) = 30231 × 21 × 371 × 411
LCM(3023,3034) = 9171782
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