What is the Least Common Multiple of 26835 and 26843?
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 26835 and 26843 is 720331905.
LCM(26835,26843) = 720331905
Least Common Multiple of 26835 and 26843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26835 and 26843, than apply into the LCM equation.
GCF(26835,26843) = 1
LCM(26835,26843) = ( 26835 × 26843) / 1
LCM(26835,26843) = 720331905 / 1
LCM(26835,26843) = 720331905
Least Common Multiple (LCM) of 26835 and 26843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26835 and 26843. First we will calculate the prime factors of 26835 and 26843.
Prime Factorization of 26835
Prime factors of 26835 are 3, 5, 1789. Prime factorization of 26835 in exponential form is:
26835 = 31 × 51 × 17891
Prime Factorization of 26843
Prime factors of 26843 are 17, 1579. Prime factorization of 26843 in exponential form is:
26843 = 171 × 15791
Now multiplying the highest exponent prime factors to calculate the LCM of 26835 and 26843.
LCM(26835,26843) = 31 × 51 × 17891 × 171 × 15791
LCM(26835,26843) = 720331905
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