What is the Least Common Multiple of 26051 and 26064?
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 26051 and 26064 is 678993264.
LCM(26051,26064) = 678993264
Least Common Multiple of 26051 and 26064 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26051 and 26064, than apply into the LCM equation.
GCF(26051,26064) = 1
LCM(26051,26064) = ( 26051 × 26064) / 1
LCM(26051,26064) = 678993264 / 1
LCM(26051,26064) = 678993264
Least Common Multiple (LCM) of 26051 and 26064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26051 and 26064. First we will calculate the prime factors of 26051 and 26064.
Prime Factorization of 26051
Prime factors of 26051 are 109, 239. Prime factorization of 26051 in exponential form is:
26051 = 1091 × 2391
Prime Factorization of 26064
Prime factors of 26064 are 2, 3, 181. Prime factorization of 26064 in exponential form is:
26064 = 24 × 32 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 26051 and 26064.
LCM(26051,26064) = 1091 × 2391 × 24 × 32 × 1811
LCM(26051,26064) = 678993264
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