What is the Least Common Multiple of 62782 and 62799?
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 62782 and 62799 is 3942646818.
LCM(62782,62799) = 3942646818
Least Common Multiple of 62782 and 62799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62782 and 62799, than apply into the LCM equation.
GCF(62782,62799) = 1
LCM(62782,62799) = ( 62782 × 62799) / 1
LCM(62782,62799) = 3942646818 / 1
LCM(62782,62799) = 3942646818
Least Common Multiple (LCM) of 62782 and 62799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62782 and 62799. First we will calculate the prime factors of 62782 and 62799.
Prime Factorization of 62782
Prime factors of 62782 are 2, 31391. Prime factorization of 62782 in exponential form is:
62782 = 21 × 313911
Prime Factorization of 62799
Prime factors of 62799 are 3, 11, 173. Prime factorization of 62799 in exponential form is:
62799 = 31 × 112 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 62782 and 62799.
LCM(62782,62799) = 21 × 313911 × 31 × 112 × 1731
LCM(62782,62799) = 3942646818
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