What is the Least Common Multiple of 56022 and 56041?
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 56022 and 56041 is 3139528902.
LCM(56022,56041) = 3139528902
Least Common Multiple of 56022 and 56041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56022 and 56041, than apply into the LCM equation.
GCF(56022,56041) = 1
LCM(56022,56041) = ( 56022 × 56041) / 1
LCM(56022,56041) = 3139528902 / 1
LCM(56022,56041) = 3139528902
Least Common Multiple (LCM) of 56022 and 56041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56022 and 56041. First we will calculate the prime factors of 56022 and 56041.
Prime Factorization of 56022
Prime factors of 56022 are 2, 3, 9337. Prime factorization of 56022 in exponential form is:
56022 = 21 × 31 × 93371
Prime Factorization of 56041
Prime factors of 56041 are 56041. Prime factorization of 56041 in exponential form is:
56041 = 560411
Now multiplying the highest exponent prime factors to calculate the LCM of 56022 and 56041.
LCM(56022,56041) = 21 × 31 × 93371 × 560411
LCM(56022,56041) = 3139528902
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