What is the Least Common Multiple of 62021 and 62041?
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 62021 and 62041 is 3847844861.
LCM(62021,62041) = 3847844861
Least Common Multiple of 62021 and 62041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62021 and 62041, than apply into the LCM equation.
GCF(62021,62041) = 1
LCM(62021,62041) = ( 62021 × 62041) / 1
LCM(62021,62041) = 3847844861 / 1
LCM(62021,62041) = 3847844861
Least Common Multiple (LCM) of 62021 and 62041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62021 and 62041. First we will calculate the prime factors of 62021 and 62041.
Prime Factorization of 62021
Prime factors of 62021 are 109, 569. Prime factorization of 62021 in exponential form is:
62021 = 1091 × 5691
Prime Factorization of 62041
Prime factors of 62041 are 7, 8863. Prime factorization of 62041 in exponential form is:
62041 = 71 × 88631
Now multiplying the highest exponent prime factors to calculate the LCM of 62021 and 62041.
LCM(62021,62041) = 1091 × 5691 × 71 × 88631
LCM(62021,62041) = 3847844861
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