What is the Least Common Multiple of 87263 and 87281?
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 87263 and 87281 is 7616401903.
LCM(87263,87281) = 7616401903
Least Common Multiple of 87263 and 87281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87263 and 87281, than apply into the LCM equation.
GCF(87263,87281) = 1
LCM(87263,87281) = ( 87263 × 87281) / 1
LCM(87263,87281) = 7616401903 / 1
LCM(87263,87281) = 7616401903
Least Common Multiple (LCM) of 87263 and 87281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87263 and 87281. First we will calculate the prime factors of 87263 and 87281.
Prime Factorization of 87263
Prime factors of 87263 are 11, 7933. Prime factorization of 87263 in exponential form is:
87263 = 111 × 79331
Prime Factorization of 87281
Prime factors of 87281 are 87281. Prime factorization of 87281 in exponential form is:
87281 = 872811
Now multiplying the highest exponent prime factors to calculate the LCM of 87263 and 87281.
LCM(87263,87281) = 111 × 79331 × 872811
LCM(87263,87281) = 7616401903
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