What is the Least Common Multiple of 51426 and 51439?
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 51426 and 51439 is 2645302014.
LCM(51426,51439) = 2645302014
Least Common Multiple of 51426 and 51439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51426 and 51439, than apply into the LCM equation.
GCF(51426,51439) = 1
LCM(51426,51439) = ( 51426 × 51439) / 1
LCM(51426,51439) = 2645302014 / 1
LCM(51426,51439) = 2645302014
Least Common Multiple (LCM) of 51426 and 51439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51426 and 51439. First we will calculate the prime factors of 51426 and 51439.
Prime Factorization of 51426
Prime factors of 51426 are 2, 3, 2857. Prime factorization of 51426 in exponential form is:
51426 = 21 × 32 × 28571
Prime Factorization of 51439
Prime factors of 51439 are 51439. Prime factorization of 51439 in exponential form is:
51439 = 514391
Now multiplying the highest exponent prime factors to calculate the LCM of 51426 and 51439.
LCM(51426,51439) = 21 × 32 × 28571 × 514391
LCM(51426,51439) = 2645302014
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