What is the Least Common Multiple of 62856 and 62863?
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 62856 and 62863 is 3951316728.
LCM(62856,62863) = 3951316728
Least Common Multiple of 62856 and 62863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62856 and 62863, than apply into the LCM equation.
GCF(62856,62863) = 1
LCM(62856,62863) = ( 62856 × 62863) / 1
LCM(62856,62863) = 3951316728 / 1
LCM(62856,62863) = 3951316728
Least Common Multiple (LCM) of 62856 and 62863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62856 and 62863. First we will calculate the prime factors of 62856 and 62863.
Prime Factorization of 62856
Prime factors of 62856 are 2, 3, 97. Prime factorization of 62856 in exponential form is:
62856 = 23 × 34 × 971
Prime Factorization of 62863
Prime factors of 62863 are 37, 1699. Prime factorization of 62863 in exponential form is:
62863 = 371 × 16991
Now multiplying the highest exponent prime factors to calculate the LCM of 62856 and 62863.
LCM(62856,62863) = 23 × 34 × 971 × 371 × 16991
LCM(62856,62863) = 3951316728
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