What is the Least Common Multiple of 62863 and 62870?
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 62863 and 62870 is 3952196810.
LCM(62863,62870) = 3952196810
Least Common Multiple of 62863 and 62870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62863 and 62870, than apply into the LCM equation.
GCF(62863,62870) = 1
LCM(62863,62870) = ( 62863 × 62870) / 1
LCM(62863,62870) = 3952196810 / 1
LCM(62863,62870) = 3952196810
Least Common Multiple (LCM) of 62863 and 62870 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62863 and 62870. First we will calculate the prime factors of 62863 and 62870.
Prime Factorization of 62863
Prime factors of 62863 are 37, 1699. Prime factorization of 62863 in exponential form is:
62863 = 371 × 16991
Prime Factorization of 62870
Prime factors of 62870 are 2, 5, 6287. Prime factorization of 62870 in exponential form is:
62870 = 21 × 51 × 62871
Now multiplying the highest exponent prime factors to calculate the LCM of 62863 and 62870.
LCM(62863,62870) = 371 × 16991 × 21 × 51 × 62871
LCM(62863,62870) = 3952196810
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