What is the Least Common Multiple of 56006 and 56021?
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 56006 and 56021 is 3137512126.
LCM(56006,56021) = 3137512126
Least Common Multiple of 56006 and 56021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56006 and 56021, than apply into the LCM equation.
GCF(56006,56021) = 1
LCM(56006,56021) = ( 56006 × 56021) / 1
LCM(56006,56021) = 3137512126 / 1
LCM(56006,56021) = 3137512126
Least Common Multiple (LCM) of 56006 and 56021 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56006 and 56021. First we will calculate the prime factors of 56006 and 56021.
Prime Factorization of 56006
Prime factors of 56006 are 2, 41, 683. Prime factorization of 56006 in exponential form is:
56006 = 21 × 411 × 6831
Prime Factorization of 56021
Prime factors of 56021 are 7, 53, 151. Prime factorization of 56021 in exponential form is:
56021 = 71 × 531 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 56006 and 56021.
LCM(56006,56021) = 21 × 411 × 6831 × 71 × 531 × 1511
LCM(56006,56021) = 3137512126
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