What is the Least Common Multiple of 26067 and 26086?
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 26067 and 26086 is 679983762.
LCM(26067,26086) = 679983762
Least Common Multiple of 26067 and 26086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26067 and 26086, than apply into the LCM equation.
GCF(26067,26086) = 1
LCM(26067,26086) = ( 26067 × 26086) / 1
LCM(26067,26086) = 679983762 / 1
LCM(26067,26086) = 679983762
Least Common Multiple (LCM) of 26067 and 26086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26067 and 26086. First we will calculate the prime factors of 26067 and 26086.
Prime Factorization of 26067
Prime factors of 26067 are 3, 8689. Prime factorization of 26067 in exponential form is:
26067 = 31 × 86891
Prime Factorization of 26086
Prime factors of 26086 are 2, 13043. Prime factorization of 26086 in exponential form is:
26086 = 21 × 130431
Now multiplying the highest exponent prime factors to calculate the LCM of 26067 and 26086.
LCM(26067,26086) = 31 × 86891 × 21 × 130431
LCM(26067,26086) = 679983762
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