What is the Least Common Multiple of 86468 and 86483?
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 86468 and 86483 is 7478012044.
LCM(86468,86483) = 7478012044
Least Common Multiple of 86468 and 86483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86468 and 86483, than apply into the LCM equation.
GCF(86468,86483) = 1
LCM(86468,86483) = ( 86468 × 86483) / 1
LCM(86468,86483) = 7478012044 / 1
LCM(86468,86483) = 7478012044
Least Common Multiple (LCM) of 86468 and 86483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86468 and 86483. First we will calculate the prime factors of 86468 and 86483.
Prime Factorization of 86468
Prime factors of 86468 are 2, 21617. Prime factorization of 86468 in exponential form is:
86468 = 22 × 216171
Prime Factorization of 86483
Prime factors of 86483 are 197, 439. Prime factorization of 86483 in exponential form is:
86483 = 1971 × 4391
Now multiplying the highest exponent prime factors to calculate the LCM of 86468 and 86483.
LCM(86468,86483) = 22 × 216171 × 1971 × 4391
LCM(86468,86483) = 7478012044
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