What is the Least Common Multiple of 62887 and 62894?
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 62887 and 62894 is 3955214978.
LCM(62887,62894) = 3955214978
Least Common Multiple of 62887 and 62894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62887 and 62894, than apply into the LCM equation.
GCF(62887,62894) = 1
LCM(62887,62894) = ( 62887 × 62894) / 1
LCM(62887,62894) = 3955214978 / 1
LCM(62887,62894) = 3955214978
Least Common Multiple (LCM) of 62887 and 62894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62887 and 62894. First we will calculate the prime factors of 62887 and 62894.
Prime Factorization of 62887
Prime factors of 62887 are 11, 5717. Prime factorization of 62887 in exponential form is:
62887 = 111 × 57171
Prime Factorization of 62894
Prime factors of 62894 are 2, 13, 41, 59. Prime factorization of 62894 in exponential form is:
62894 = 21 × 131 × 411 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 62887 and 62894.
LCM(62887,62894) = 111 × 57171 × 21 × 131 × 411 × 591
LCM(62887,62894) = 3955214978
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