What is the Least Common Multiple of 52826 and 52841?
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 52826 and 52841 is 2791378666.
LCM(52826,52841) = 2791378666
Least Common Multiple of 52826 and 52841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52826 and 52841, than apply into the LCM equation.
GCF(52826,52841) = 1
LCM(52826,52841) = ( 52826 × 52841) / 1
LCM(52826,52841) = 2791378666 / 1
LCM(52826,52841) = 2791378666
Least Common Multiple (LCM) of 52826 and 52841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52826 and 52841. First we will calculate the prime factors of 52826 and 52841.
Prime Factorization of 52826
Prime factors of 52826 are 2, 61, 433. Prime factorization of 52826 in exponential form is:
52826 = 21 × 611 × 4331
Prime Factorization of 52841
Prime factors of 52841 are 53, 997. Prime factorization of 52841 in exponential form is:
52841 = 531 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 52826 and 52841.
LCM(52826,52841) = 21 × 611 × 4331 × 531 × 9971
LCM(52826,52841) = 2791378666
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