What is the Least Common Multiple of 62888 and 62893?
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 62888 and 62893 is 3955214984.
LCM(62888,62893) = 3955214984
Least Common Multiple of 62888 and 62893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62888 and 62893, than apply into the LCM equation.
GCF(62888,62893) = 1
LCM(62888,62893) = ( 62888 × 62893) / 1
LCM(62888,62893) = 3955214984 / 1
LCM(62888,62893) = 3955214984
Least Common Multiple (LCM) of 62888 and 62893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62888 and 62893. First we will calculate the prime factors of 62888 and 62893.
Prime Factorization of 62888
Prime factors of 62888 are 2, 7, 1123. Prime factorization of 62888 in exponential form is:
62888 = 23 × 71 × 11231
Prime Factorization of 62893
Prime factors of 62893 are 109, 577. Prime factorization of 62893 in exponential form is:
62893 = 1091 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 62888 and 62893.
LCM(62888,62893) = 23 × 71 × 11231 × 1091 × 5771
LCM(62888,62893) = 3955214984
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