What is the Least Common Multiple of 62126 and 62131?
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 62131 is 3859950506.
LCM(62126,62131) = 3859950506
Least Common Multiple of 62126 and 62131 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 62131, than apply into the LCM equation.
GCF(62126,62131) = 1
LCM(62126,62131) = ( 62126 × 62131) / 1
LCM(62126,62131) = 3859950506 / 1
LCM(62126,62131) = 3859950506
Least Common Multiple (LCM) of 62126 and 62131 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62126 and 62131. First we will calculate the prime factors of 62126 and 62131.
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 62131
Prime factors of 62131 are 62131. Prime factorization of 62131 in exponential form is:
62131 = 621311
Now multiplying the highest exponent prime factors to calculate the LCM of 62126 and 62131.
LCM(62126,62131) = 21 × 310631 × 621311
LCM(62126,62131) = 3859950506
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