What is the Least Common Multiple of 62122 and 62141?
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 62122 and 62141 is 3860323202.
LCM(62122,62141) = 3860323202
Least Common Multiple of 62122 and 62141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62122 and 62141, than apply into the LCM equation.
GCF(62122,62141) = 1
LCM(62122,62141) = ( 62122 × 62141) / 1
LCM(62122,62141) = 3860323202 / 1
LCM(62122,62141) = 3860323202
Least Common Multiple (LCM) of 62122 and 62141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62122 and 62141. First we will calculate the prime factors of 62122 and 62141.
Prime Factorization of 62122
Prime factors of 62122 are 2, 89, 349. Prime factorization of 62122 in exponential form is:
62122 = 21 × 891 × 3491
Prime Factorization of 62141
Prime factors of 62141 are 62141. Prime factorization of 62141 in exponential form is:
62141 = 621411
Now multiplying the highest exponent prime factors to calculate the LCM of 62122 and 62141.
LCM(62122,62141) = 21 × 891 × 3491 × 621411
LCM(62122,62141) = 3860323202
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