What is the Least Common Multiple of 62899 and 62907?
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 62899 and 62907 is 3956787393.
LCM(62899,62907) = 3956787393
Least Common Multiple of 62899 and 62907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62899 and 62907, than apply into the LCM equation.
GCF(62899,62907) = 1
LCM(62899,62907) = ( 62899 × 62907) / 1
LCM(62899,62907) = 3956787393 / 1
LCM(62899,62907) = 3956787393
Least Common Multiple (LCM) of 62899 and 62907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62899 and 62907. First we will calculate the prime factors of 62899 and 62907.
Prime Factorization of 62899
Prime factors of 62899 are 31, 2029. Prime factorization of 62899 in exponential form is:
62899 = 311 × 20291
Prime Factorization of 62907
Prime factors of 62907 are 3, 13, 1613. Prime factorization of 62907 in exponential form is:
62907 = 31 × 131 × 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 62899 and 62907.
LCM(62899,62907) = 311 × 20291 × 31 × 131 × 16131
LCM(62899,62907) = 3956787393
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