What is the Least Common Multiple of 62082 and 62086?
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 62082 and 62086 is 1927211526.
LCM(62082,62086) = 1927211526
Least Common Multiple of 62082 and 62086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62082 and 62086, than apply into the LCM equation.
GCF(62082,62086) = 2
LCM(62082,62086) = ( 62082 × 62086) / 2
LCM(62082,62086) = 3854423052 / 2
LCM(62082,62086) = 1927211526
Least Common Multiple (LCM) of 62082 and 62086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62082 and 62086. First we will calculate the prime factors of 62082 and 62086.
Prime Factorization of 62082
Prime factors of 62082 are 2, 3, 3449. Prime factorization of 62082 in exponential form is:
62082 = 21 × 32 × 34491
Prime Factorization of 62086
Prime factors of 62086 are 2, 37, 839. Prime factorization of 62086 in exponential form is:
62086 = 21 × 371 × 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 62082 and 62086.
LCM(62082,62086) = 21 × 32 × 34491 × 371 × 8391
LCM(62082,62086) = 1927211526
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