What is the Least Common Multiple of 62407 and 62427?
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 62407 and 62427 is 3895881789.
LCM(62407,62427) = 3895881789
Least Common Multiple of 62407 and 62427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62407 and 62427, than apply into the LCM equation.
GCF(62407,62427) = 1
LCM(62407,62427) = ( 62407 × 62427) / 1
LCM(62407,62427) = 3895881789 / 1
LCM(62407,62427) = 3895881789
Least Common Multiple (LCM) of 62407 and 62427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62407 and 62427. First we will calculate the prime factors of 62407 and 62427.
Prime Factorization of 62407
Prime factors of 62407 are 17, 3671. Prime factorization of 62407 in exponential form is:
62407 = 171 × 36711
Prime Factorization of 62427
Prime factors of 62427 are 3, 20809. Prime factorization of 62427 in exponential form is:
62427 = 31 × 208091
Now multiplying the highest exponent prime factors to calculate the LCM of 62407 and 62427.
LCM(62407,62427) = 171 × 36711 × 31 × 208091
LCM(62407,62427) = 3895881789
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