What is the Least Common Multiple of 56159 and 56167?
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 56159 and 56167 is 3154282553.
LCM(56159,56167) = 3154282553
Least Common Multiple of 56159 and 56167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56159 and 56167, than apply into the LCM equation.
GCF(56159,56167) = 1
LCM(56159,56167) = ( 56159 × 56167) / 1
LCM(56159,56167) = 3154282553 / 1
LCM(56159,56167) = 3154282553
Least Common Multiple (LCM) of 56159 and 56167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56159 and 56167. First we will calculate the prime factors of 56159 and 56167.
Prime Factorization of 56159
Prime factors of 56159 are 89, 631. Prime factorization of 56159 in exponential form is:
56159 = 891 × 6311
Prime Factorization of 56167
Prime factors of 56167 are 56167. Prime factorization of 56167 in exponential form is:
56167 = 561671
Now multiplying the highest exponent prime factors to calculate the LCM of 56159 and 56167.
LCM(56159,56167) = 891 × 6311 × 561671
LCM(56159,56167) = 3154282553
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