What is the Least Common Multiple of 62711 and 62724?
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 62711 and 62724 is 3933484764.
LCM(62711,62724) = 3933484764
Least Common Multiple of 62711 and 62724 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62711 and 62724, than apply into the LCM equation.
GCF(62711,62724) = 1
LCM(62711,62724) = ( 62711 × 62724) / 1
LCM(62711,62724) = 3933484764 / 1
LCM(62711,62724) = 3933484764
Least Common Multiple (LCM) of 62711 and 62724 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62711 and 62724. First we will calculate the prime factors of 62711 and 62724.
Prime Factorization of 62711
Prime factors of 62711 are 11, 5701. Prime factorization of 62711 in exponential form is:
62711 = 111 × 57011
Prime Factorization of 62724
Prime factors of 62724 are 2, 3, 5227. Prime factorization of 62724 in exponential form is:
62724 = 22 × 31 × 52271
Now multiplying the highest exponent prime factors to calculate the LCM of 62711 and 62724.
LCM(62711,62724) = 111 × 57011 × 22 × 31 × 52271
LCM(62711,62724) = 3933484764
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