What is the Least Common Multiple of 56673 and 56689?
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 56673 and 56689 is 3212735697.
LCM(56673,56689) = 3212735697
Least Common Multiple of 56673 and 56689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56673 and 56689, than apply into the LCM equation.
GCF(56673,56689) = 1
LCM(56673,56689) = ( 56673 × 56689) / 1
LCM(56673,56689) = 3212735697 / 1
LCM(56673,56689) = 3212735697
Least Common Multiple (LCM) of 56673 and 56689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56673 and 56689. First we will calculate the prime factors of 56673 and 56689.
Prime Factorization of 56673
Prime factors of 56673 are 3, 2099. Prime factorization of 56673 in exponential form is:
56673 = 33 × 20991
Prime Factorization of 56689
Prime factors of 56689 are 83, 683. Prime factorization of 56689 in exponential form is:
56689 = 831 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 56673 and 56689.
LCM(56673,56689) = 33 × 20991 × 831 × 6831
LCM(56673,56689) = 3212735697
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