What is the Least Common Multiple of 62126 and 62143?
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 62126 and 62143 is 3860696018.
LCM(62126,62143) = 3860696018
Least Common Multiple of 62126 and 62143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62126 and 62143, than apply into the LCM equation.
GCF(62126,62143) = 1
LCM(62126,62143) = ( 62126 × 62143) / 1
LCM(62126,62143) = 3860696018 / 1
LCM(62126,62143) = 3860696018
Least Common Multiple (LCM) of 62126 and 62143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62126 and 62143. First we will calculate the prime factors of 62126 and 62143.
Prime Factorization of 62126
Prime factors of 62126 are 2, 31063. Prime factorization of 62126 in exponential form is:
62126 = 21 × 310631
Prime Factorization of 62143
Prime factors of 62143 are 62143. Prime factorization of 62143 in exponential form is:
62143 = 621431
Now multiplying the highest exponent prime factors to calculate the LCM of 62126 and 62143.
LCM(62126,62143) = 21 × 310631 × 621431
LCM(62126,62143) = 3860696018
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