What is the Least Common Multiple of 3022 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 3022 and 3034 is 4584374.
LCM(3022,3034) = 4584374
Least Common Multiple of 3022 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 3022 and 3034, than apply into the LCM equation.
GCF(3022,3034) = 2
LCM(3022,3034) = ( 3022 × 3034) / 2
LCM(3022,3034) = 9168748 / 2
LCM(3022,3034) = 4584374
Least Common Multiple (LCM) of 3022 and 3034 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3022 and 3034. First we will calculate the prime factors of 3022 and 3034.
Prime Factorization of 3022
Prime factors of 3022 are 2, 1511. Prime factorization of 3022 in exponential form is:
3022 = 21 × 15111
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 3022 and 3034.
LCM(3022,3034) = 21 × 15111 × 371 × 411
LCM(3022,3034) = 4584374
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