What is the Least Common Multiple of 47149 and 47155?
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 47149 and 47155 is 2223311095.
LCM(47149,47155) = 2223311095
Least Common Multiple of 47149 and 47155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47149 and 47155, than apply into the LCM equation.
GCF(47149,47155) = 1
LCM(47149,47155) = ( 47149 × 47155) / 1
LCM(47149,47155) = 2223311095 / 1
LCM(47149,47155) = 2223311095
Least Common Multiple (LCM) of 47149 and 47155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47149 and 47155. First we will calculate the prime factors of 47149 and 47155.
Prime Factorization of 47149
Prime factors of 47149 are 47149. Prime factorization of 47149 in exponential form is:
47149 = 471491
Prime Factorization of 47155
Prime factors of 47155 are 5, 9431. Prime factorization of 47155 in exponential form is:
47155 = 51 × 94311
Now multiplying the highest exponent prime factors to calculate the LCM of 47149 and 47155.
LCM(47149,47155) = 471491 × 51 × 94311
LCM(47149,47155) = 2223311095
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