What is the Least Common Multiple of 62011 and 62020?
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 62011 and 62020 is 3845922220.
LCM(62011,62020) = 3845922220
Least Common Multiple of 62011 and 62020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62011 and 62020, than apply into the LCM equation.
GCF(62011,62020) = 1
LCM(62011,62020) = ( 62011 × 62020) / 1
LCM(62011,62020) = 3845922220 / 1
LCM(62011,62020) = 3845922220
Least Common Multiple (LCM) of 62011 and 62020 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62011 and 62020. First we will calculate the prime factors of 62011 and 62020.
Prime Factorization of 62011
Prime factors of 62011 are 62011. Prime factorization of 62011 in exponential form is:
62011 = 620111
Prime Factorization of 62020
Prime factors of 62020 are 2, 5, 7, 443. Prime factorization of 62020 in exponential form is:
62020 = 22 × 51 × 71 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 62011 and 62020.
LCM(62011,62020) = 620111 × 22 × 51 × 71 × 4431
LCM(62011,62020) = 3845922220
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