What is the Least Common Multiple of 86162 and 86181?
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 86162 and 86181 is 7425527322.
LCM(86162,86181) = 7425527322
Least Common Multiple of 86162 and 86181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86162 and 86181, than apply into the LCM equation.
GCF(86162,86181) = 1
LCM(86162,86181) = ( 86162 × 86181) / 1
LCM(86162,86181) = 7425527322 / 1
LCM(86162,86181) = 7425527322
Least Common Multiple (LCM) of 86162 and 86181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86162 and 86181. First we will calculate the prime factors of 86162 and 86181.
Prime Factorization of 86162
Prime factors of 86162 are 2, 67, 643. Prime factorization of 86162 in exponential form is:
86162 = 21 × 671 × 6431
Prime Factorization of 86181
Prime factors of 86181 are 3, 23, 1249. Prime factorization of 86181 in exponential form is:
86181 = 31 × 231 × 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 86162 and 86181.
LCM(86162,86181) = 21 × 671 × 6431 × 31 × 231 × 12491
LCM(86162,86181) = 7425527322
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