What is the Least Common Multiple of 77482 and 77486?
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 77482 and 77486 is 3001885126.
LCM(77482,77486) = 3001885126
Least Common Multiple of 77482 and 77486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77482 and 77486, than apply into the LCM equation.
GCF(77482,77486) = 2
LCM(77482,77486) = ( 77482 × 77486) / 2
LCM(77482,77486) = 6003770252 / 2
LCM(77482,77486) = 3001885126
Least Common Multiple (LCM) of 77482 and 77486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77482 and 77486. First we will calculate the prime factors of 77482 and 77486.
Prime Factorization of 77482
Prime factors of 77482 are 2, 19, 2039. Prime factorization of 77482 in exponential form is:
77482 = 21 × 191 × 20391
Prime Factorization of 77486
Prime factors of 77486 are 2, 17, 43, 53. Prime factorization of 77486 in exponential form is:
77486 = 21 × 171 × 431 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 77482 and 77486.
LCM(77482,77486) = 21 × 191 × 20391 × 171 × 431 × 531
LCM(77482,77486) = 3001885126
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