What is the Least Common Multiple of 86487 and 86494?
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 86487 and 86494 is 7480606578.
LCM(86487,86494) = 7480606578
Least Common Multiple of 86487 and 86494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86487 and 86494, than apply into the LCM equation.
GCF(86487,86494) = 1
LCM(86487,86494) = ( 86487 × 86494) / 1
LCM(86487,86494) = 7480606578 / 1
LCM(86487,86494) = 7480606578
Least Common Multiple (LCM) of 86487 and 86494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86487 and 86494. First we will calculate the prime factors of 86487 and 86494.
Prime Factorization of 86487
Prime factors of 86487 are 3, 127, 227. Prime factorization of 86487 in exponential form is:
86487 = 31 × 1271 × 2271
Prime Factorization of 86494
Prime factors of 86494 are 2, 59, 733. Prime factorization of 86494 in exponential form is:
86494 = 21 × 591 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 86487 and 86494.
LCM(86487,86494) = 31 × 1271 × 2271 × 21 × 591 × 7331
LCM(86487,86494) = 7480606578
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