What is the Least Common Multiple of 68482 and 68487?
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 68482 and 68487 is 4690126734.
LCM(68482,68487) = 4690126734
Least Common Multiple of 68482 and 68487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68482 and 68487, than apply into the LCM equation.
GCF(68482,68487) = 1
LCM(68482,68487) = ( 68482 × 68487) / 1
LCM(68482,68487) = 4690126734 / 1
LCM(68482,68487) = 4690126734
Least Common Multiple (LCM) of 68482 and 68487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68482 and 68487. First we will calculate the prime factors of 68482 and 68487.
Prime Factorization of 68482
Prime factors of 68482 are 2, 97, 353. Prime factorization of 68482 in exponential form is:
68482 = 21 × 971 × 3531
Prime Factorization of 68487
Prime factors of 68487 are 3, 37, 617. Prime factorization of 68487 in exponential form is:
68487 = 31 × 371 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 68482 and 68487.
LCM(68482,68487) = 21 × 971 × 3531 × 31 × 371 × 6171
LCM(68482,68487) = 4690126734
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