What is the Least Common Multiple of 87223 and 87232?
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 87223 and 87232 is 7608636736.
LCM(87223,87232) = 7608636736
Least Common Multiple of 87223 and 87232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87223 and 87232, than apply into the LCM equation.
GCF(87223,87232) = 1
LCM(87223,87232) = ( 87223 × 87232) / 1
LCM(87223,87232) = 7608636736 / 1
LCM(87223,87232) = 7608636736
Least Common Multiple (LCM) of 87223 and 87232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87223 and 87232. First we will calculate the prime factors of 87223 and 87232.
Prime Factorization of 87223
Prime factors of 87223 are 87223. Prime factorization of 87223 in exponential form is:
87223 = 872231
Prime Factorization of 87232
Prime factors of 87232 are 2, 29, 47. Prime factorization of 87232 in exponential form is:
87232 = 26 × 291 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 87223 and 87232.
LCM(87223,87232) = 872231 × 26 × 291 × 471
LCM(87223,87232) = 7608636736
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