What is the Least Common Multiple of 62885 and 62905?
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 62885 and 62905 is 791156185.
LCM(62885,62905) = 791156185
Least Common Multiple of 62885 and 62905 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62885 and 62905, than apply into the LCM equation.
GCF(62885,62905) = 5
LCM(62885,62905) = ( 62885 × 62905) / 5
LCM(62885,62905) = 3955780925 / 5
LCM(62885,62905) = 791156185
Least Common Multiple (LCM) of 62885 and 62905 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62885 and 62905. First we will calculate the prime factors of 62885 and 62905.
Prime Factorization of 62885
Prime factors of 62885 are 5, 12577. Prime factorization of 62885 in exponential form is:
62885 = 51 × 125771
Prime Factorization of 62905
Prime factors of 62905 are 5, 23, 547. Prime factorization of 62905 in exponential form is:
62905 = 51 × 231 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 62885 and 62905.
LCM(62885,62905) = 51 × 125771 × 231 × 5471
LCM(62885,62905) = 791156185
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