What is the Least Common Multiple of 52826 and 52835?
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 52835 is 2791061710.
LCM(52826,52835) = 2791061710
Least Common Multiple of 52826 and 52835 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 52835, than apply into the LCM equation.
GCF(52826,52835) = 1
LCM(52826,52835) = ( 52826 × 52835) / 1
LCM(52826,52835) = 2791061710 / 1
LCM(52826,52835) = 2791061710
Least Common Multiple (LCM) of 52826 and 52835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52826 and 52835. First we will calculate the prime factors of 52826 and 52835.
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 52835
Prime factors of 52835 are 5, 10567. Prime factorization of 52835 in exponential form is:
52835 = 51 × 105671
Now multiplying the highest exponent prime factors to calculate the LCM of 52826 and 52835.
LCM(52826,52835) = 21 × 611 × 4331 × 51 × 105671
LCM(52826,52835) = 2791061710
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