What is the Least Common Multiple of 81467 and 81485?
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 81467 and 81485 is 6638338495.
LCM(81467,81485) = 6638338495
Least Common Multiple of 81467 and 81485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81467 and 81485, than apply into the LCM equation.
GCF(81467,81485) = 1
LCM(81467,81485) = ( 81467 × 81485) / 1
LCM(81467,81485) = 6638338495 / 1
LCM(81467,81485) = 6638338495
Least Common Multiple (LCM) of 81467 and 81485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81467 and 81485. First we will calculate the prime factors of 81467 and 81485.
Prime Factorization of 81467
Prime factors of 81467 are 41, 1987. Prime factorization of 81467 in exponential form is:
81467 = 411 × 19871
Prime Factorization of 81485
Prime factors of 81485 are 5, 43, 379. Prime factorization of 81485 in exponential form is:
81485 = 51 × 431 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 81467 and 81485.
LCM(81467,81485) = 411 × 19871 × 51 × 431 × 3791
LCM(81467,81485) = 6638338495
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