What is the Least Common Multiple of 26792 and 26810?
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 26792 and 26810 is 359146760.
LCM(26792,26810) = 359146760
Least Common Multiple of 26792 and 26810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26792 and 26810, than apply into the LCM equation.
GCF(26792,26810) = 2
LCM(26792,26810) = ( 26792 × 26810) / 2
LCM(26792,26810) = 718293520 / 2
LCM(26792,26810) = 359146760
Least Common Multiple (LCM) of 26792 and 26810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26792 and 26810. First we will calculate the prime factors of 26792 and 26810.
Prime Factorization of 26792
Prime factors of 26792 are 2, 17, 197. Prime factorization of 26792 in exponential form is:
26792 = 23 × 171 × 1971
Prime Factorization of 26810
Prime factors of 26810 are 2, 5, 7, 383. Prime factorization of 26810 in exponential form is:
26810 = 21 × 51 × 71 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 26792 and 26810.
LCM(26792,26810) = 23 × 171 × 1971 × 51 × 71 × 3831
LCM(26792,26810) = 359146760
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