What is the Least Common Multiple of 62056 and 62069?
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 62056 and 62069 is 3851753864.
LCM(62056,62069) = 3851753864
Least Common Multiple of 62056 and 62069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62056 and 62069, than apply into the LCM equation.
GCF(62056,62069) = 1
LCM(62056,62069) = ( 62056 × 62069) / 1
LCM(62056,62069) = 3851753864 / 1
LCM(62056,62069) = 3851753864
Least Common Multiple (LCM) of 62056 and 62069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62056 and 62069. First we will calculate the prime factors of 62056 and 62069.
Prime Factorization of 62056
Prime factors of 62056 are 2, 7757. Prime factorization of 62056 in exponential form is:
62056 = 23 × 77571
Prime Factorization of 62069
Prime factors of 62069 are 7, 8867. Prime factorization of 62069 in exponential form is:
62069 = 71 × 88671
Now multiplying the highest exponent prime factors to calculate the LCM of 62056 and 62069.
LCM(62056,62069) = 23 × 77571 × 71 × 88671
LCM(62056,62069) = 3851753864
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