What is the Least Common Multiple of 56103 and 56107?
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 56103 and 56107 is 3147771021.
LCM(56103,56107) = 3147771021
Least Common Multiple of 56103 and 56107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56103 and 56107, than apply into the LCM equation.
GCF(56103,56107) = 1
LCM(56103,56107) = ( 56103 × 56107) / 1
LCM(56103,56107) = 3147771021 / 1
LCM(56103,56107) = 3147771021
Least Common Multiple (LCM) of 56103 and 56107 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56103 and 56107. First we will calculate the prime factors of 56103 and 56107.
Prime Factorization of 56103
Prime factors of 56103 are 3, 18701. Prime factorization of 56103 in exponential form is:
56103 = 31 × 187011
Prime Factorization of 56107
Prime factors of 56107 are 19, 2953. Prime factorization of 56107 in exponential form is:
56107 = 191 × 29531
Now multiplying the highest exponent prime factors to calculate the LCM of 56103 and 56107.
LCM(56103,56107) = 31 × 187011 × 191 × 29531
LCM(56103,56107) = 3147771021
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