What is the Least Common Multiple of 55176 and 55189?
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 55176 and 55189 is 3045108264.
LCM(55176,55189) = 3045108264
Least Common Multiple of 55176 and 55189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55176 and 55189, than apply into the LCM equation.
GCF(55176,55189) = 1
LCM(55176,55189) = ( 55176 × 55189) / 1
LCM(55176,55189) = 3045108264 / 1
LCM(55176,55189) = 3045108264
Least Common Multiple (LCM) of 55176 and 55189 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55176 and 55189. First we will calculate the prime factors of 55176 and 55189.
Prime Factorization of 55176
Prime factors of 55176 are 2, 3, 11, 19. Prime factorization of 55176 in exponential form is:
55176 = 23 × 31 × 112 × 191
Prime Factorization of 55189
Prime factors of 55189 are 229, 241. Prime factorization of 55189 in exponential form is:
55189 = 2291 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 55176 and 55189.
LCM(55176,55189) = 23 × 31 × 112 × 191 × 2291 × 2411
LCM(55176,55189) = 3045108264
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