What is the Least Common Multiple of 26726 and 26740?
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 26726 and 26740 is 51046660.
LCM(26726,26740) = 51046660
Least Common Multiple of 26726 and 26740 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26726 and 26740, than apply into the LCM equation.
GCF(26726,26740) = 14
LCM(26726,26740) = ( 26726 × 26740) / 14
LCM(26726,26740) = 714653240 / 14
LCM(26726,26740) = 51046660
Least Common Multiple (LCM) of 26726 and 26740 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26726 and 26740. First we will calculate the prime factors of 26726 and 26740.
Prime Factorization of 26726
Prime factors of 26726 are 2, 7, 23, 83. Prime factorization of 26726 in exponential form is:
26726 = 21 × 71 × 231 × 831
Prime Factorization of 26740
Prime factors of 26740 are 2, 5, 7, 191. Prime factorization of 26740 in exponential form is:
26740 = 22 × 51 × 71 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 26726 and 26740.
LCM(26726,26740) = 22 × 71 × 231 × 831 × 51 × 1911
LCM(26726,26740) = 51046660
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