What is the Least Common Multiple of 55179 and 55187?
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 55179 and 55187 is 3045163473.
LCM(55179,55187) = 3045163473
Least Common Multiple of 55179 and 55187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55179 and 55187, than apply into the LCM equation.
GCF(55179,55187) = 1
LCM(55179,55187) = ( 55179 × 55187) / 1
LCM(55179,55187) = 3045163473 / 1
LCM(55179,55187) = 3045163473
Least Common Multiple (LCM) of 55179 and 55187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55179 and 55187. First we will calculate the prime factors of 55179 and 55187.
Prime Factorization of 55179
Prime factors of 55179 are 3, 6131. Prime factorization of 55179 in exponential form is:
55179 = 32 × 61311
Prime Factorization of 55187
Prime factors of 55187 are 11, 29, 173. Prime factorization of 55187 in exponential form is:
55187 = 111 × 291 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 55179 and 55187.
LCM(55179,55187) = 32 × 61311 × 111 × 291 × 1731
LCM(55179,55187) = 3045163473
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