What is the Least Common Multiple of 62818 and 62823?
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 62818 and 62823 is 3946415214.
LCM(62818,62823) = 3946415214
Least Common Multiple of 62818 and 62823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62818 and 62823, than apply into the LCM equation.
GCF(62818,62823) = 1
LCM(62818,62823) = ( 62818 × 62823) / 1
LCM(62818,62823) = 3946415214 / 1
LCM(62818,62823) = 3946415214
Least Common Multiple (LCM) of 62818 and 62823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62818 and 62823. First we will calculate the prime factors of 62818 and 62823.
Prime Factorization of 62818
Prime factors of 62818 are 2, 7, 641. Prime factorization of 62818 in exponential form is:
62818 = 21 × 72 × 6411
Prime Factorization of 62823
Prime factors of 62823 are 3, 43, 487. Prime factorization of 62823 in exponential form is:
62823 = 31 × 431 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 62818 and 62823.
LCM(62818,62823) = 21 × 72 × 6411 × 31 × 431 × 4871
LCM(62818,62823) = 3946415214
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