What is the Least Common Multiple of 68482 and 68486?
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 68486 is 2345029126.
LCM(68482,68486) = 2345029126
Least Common Multiple of 68482 and 68486 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 68486, than apply into the LCM equation.
GCF(68482,68486) = 2
LCM(68482,68486) = ( 68482 × 68486) / 2
LCM(68482,68486) = 4690058252 / 2
LCM(68482,68486) = 2345029126
Least Common Multiple (LCM) of 68482 and 68486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68482 and 68486. First we will calculate the prime factors of 68482 and 68486.
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 68486
Prime factors of 68486 are 2, 11, 283. Prime factorization of 68486 in exponential form is:
68486 = 21 × 112 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 68482 and 68486.
LCM(68482,68486) = 21 × 971 × 3531 × 112 × 2831
LCM(68482,68486) = 2345029126
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