What is the Least Common Multiple of 26273 and 26278?
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 26273 and 26278 is 690401894.
LCM(26273,26278) = 690401894
Least Common Multiple of 26273 and 26278 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26273 and 26278, than apply into the LCM equation.
GCF(26273,26278) = 1
LCM(26273,26278) = ( 26273 × 26278) / 1
LCM(26273,26278) = 690401894 / 1
LCM(26273,26278) = 690401894
Least Common Multiple (LCM) of 26273 and 26278 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26273 and 26278. First we will calculate the prime factors of 26273 and 26278.
Prime Factorization of 26273
Prime factors of 26273 are 13, 43, 47. Prime factorization of 26273 in exponential form is:
26273 = 131 × 431 × 471
Prime Factorization of 26278
Prime factors of 26278 are 2, 7, 1877. Prime factorization of 26278 in exponential form is:
26278 = 21 × 71 × 18771
Now multiplying the highest exponent prime factors to calculate the LCM of 26273 and 26278.
LCM(26273,26278) = 131 × 431 × 471 × 21 × 71 × 18771
LCM(26273,26278) = 690401894
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