What is the Least Common Multiple of 56163 and 56168?
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 56163 and 56168 is 3154563384.
LCM(56163,56168) = 3154563384
Least Common Multiple of 56163 and 56168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56163 and 56168, than apply into the LCM equation.
GCF(56163,56168) = 1
LCM(56163,56168) = ( 56163 × 56168) / 1
LCM(56163,56168) = 3154563384 / 1
LCM(56163,56168) = 3154563384
Least Common Multiple (LCM) of 56163 and 56168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56163 and 56168. First we will calculate the prime factors of 56163 and 56168.
Prime Factorization of 56163
Prime factors of 56163 are 3, 97, 193. Prime factorization of 56163 in exponential form is:
56163 = 31 × 971 × 1931
Prime Factorization of 56168
Prime factors of 56168 are 2, 7, 17, 59. Prime factorization of 56168 in exponential form is:
56168 = 23 × 71 × 171 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 56163 and 56168.
LCM(56163,56168) = 31 × 971 × 1931 × 23 × 71 × 171 × 591
LCM(56163,56168) = 3154563384
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