What is the Least Common Multiple of 62477 and 62491?
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 62477 and 62491 is 3904250207.
LCM(62477,62491) = 3904250207
Least Common Multiple of 62477 and 62491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62477 and 62491, than apply into the LCM equation.
GCF(62477,62491) = 1
LCM(62477,62491) = ( 62477 × 62491) / 1
LCM(62477,62491) = 3904250207 / 1
LCM(62477,62491) = 3904250207
Least Common Multiple (LCM) of 62477 and 62491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62477 and 62491. First we will calculate the prime factors of 62477 and 62491.
Prime Factorization of 62477
Prime factors of 62477 are 62477. Prime factorization of 62477 in exponential form is:
62477 = 624771
Prime Factorization of 62491
Prime factors of 62491 are 11, 13, 19, 23. Prime factorization of 62491 in exponential form is:
62491 = 111 × 131 × 191 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 62477 and 62491.
LCM(62477,62491) = 624771 × 111 × 131 × 191 × 231
LCM(62477,62491) = 3904250207
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