What is the Least Common Multiple of 86267 and 86285?
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 86267 and 86285 is 7443548095.
LCM(86267,86285) = 7443548095
Least Common Multiple of 86267 and 86285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86267 and 86285, than apply into the LCM equation.
GCF(86267,86285) = 1
LCM(86267,86285) = ( 86267 × 86285) / 1
LCM(86267,86285) = 7443548095 / 1
LCM(86267,86285) = 7443548095
Least Common Multiple (LCM) of 86267 and 86285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86267 and 86285. First we will calculate the prime factors of 86267 and 86285.
Prime Factorization of 86267
Prime factors of 86267 are 281, 307. Prime factorization of 86267 in exponential form is:
86267 = 2811 × 3071
Prime Factorization of 86285
Prime factors of 86285 are 5, 17257. Prime factorization of 86285 in exponential form is:
86285 = 51 × 172571
Now multiplying the highest exponent prime factors to calculate the LCM of 86267 and 86285.
LCM(86267,86285) = 2811 × 3071 × 51 × 172571
LCM(86267,86285) = 7443548095
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