What is the Least Common Multiple of 56167 and 56179?
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 56167 and 56179 is 3155405893.
LCM(56167,56179) = 3155405893
Least Common Multiple of 56167 and 56179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56167 and 56179, than apply into the LCM equation.
GCF(56167,56179) = 1
LCM(56167,56179) = ( 56167 × 56179) / 1
LCM(56167,56179) = 3155405893 / 1
LCM(56167,56179) = 3155405893
Least Common Multiple (LCM) of 56167 and 56179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56167 and 56179. First we will calculate the prime factors of 56167 and 56179.
Prime Factorization of 56167
Prime factors of 56167 are 56167. Prime factorization of 56167 in exponential form is:
56167 = 561671
Prime Factorization of 56179
Prime factors of 56179 are 56179. Prime factorization of 56179 in exponential form is:
56179 = 561791
Now multiplying the highest exponent prime factors to calculate the LCM of 56167 and 56179.
LCM(56167,56179) = 561671 × 561791
LCM(56167,56179) = 3155405893
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