What is the Least Common Multiple of 87265 and 87283?
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 87265 and 87283 is 7616750995.
LCM(87265,87283) = 7616750995
Least Common Multiple of 87265 and 87283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87265 and 87283, than apply into the LCM equation.
GCF(87265,87283) = 1
LCM(87265,87283) = ( 87265 × 87283) / 1
LCM(87265,87283) = 7616750995 / 1
LCM(87265,87283) = 7616750995
Least Common Multiple (LCM) of 87265 and 87283 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87265 and 87283. First we will calculate the prime factors of 87265 and 87283.
Prime Factorization of 87265
Prime factors of 87265 are 5, 31, 563. Prime factorization of 87265 in exponential form is:
87265 = 51 × 311 × 5631
Prime Factorization of 87283
Prime factors of 87283 are 7, 37, 337. Prime factorization of 87283 in exponential form is:
87283 = 71 × 371 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 87265 and 87283.
LCM(87265,87283) = 51 × 311 × 5631 × 71 × 371 × 3371
LCM(87265,87283) = 7616750995
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