What is the Least Common Multiple of 26271 and 26276?
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 26271 and 26276 is 690296796.
LCM(26271,26276) = 690296796
Least Common Multiple of 26271 and 26276 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26271 and 26276, than apply into the LCM equation.
GCF(26271,26276) = 1
LCM(26271,26276) = ( 26271 × 26276) / 1
LCM(26271,26276) = 690296796 / 1
LCM(26271,26276) = 690296796
Least Common Multiple (LCM) of 26271 and 26276 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26271 and 26276. First we will calculate the prime factors of 26271 and 26276.
Prime Factorization of 26271
Prime factors of 26271 are 3, 7, 139. Prime factorization of 26271 in exponential form is:
26271 = 33 × 71 × 1391
Prime Factorization of 26276
Prime factors of 26276 are 2, 6569. Prime factorization of 26276 in exponential form is:
26276 = 22 × 65691
Now multiplying the highest exponent prime factors to calculate the LCM of 26271 and 26276.
LCM(26271,26276) = 33 × 71 × 1391 × 22 × 65691
LCM(26271,26276) = 690296796
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