What is the Least Common Multiple of 26046 and 26051?
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 26046 and 26051 is 678524346.
LCM(26046,26051) = 678524346
Least Common Multiple of 26046 and 26051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26046 and 26051, than apply into the LCM equation.
GCF(26046,26051) = 1
LCM(26046,26051) = ( 26046 × 26051) / 1
LCM(26046,26051) = 678524346 / 1
LCM(26046,26051) = 678524346
Least Common Multiple (LCM) of 26046 and 26051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26046 and 26051. First we will calculate the prime factors of 26046 and 26051.
Prime Factorization of 26046
Prime factors of 26046 are 2, 3, 1447. Prime factorization of 26046 in exponential form is:
26046 = 21 × 32 × 14471
Prime Factorization of 26051
Prime factors of 26051 are 109, 239. Prime factorization of 26051 in exponential form is:
26051 = 1091 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 26046 and 26051.
LCM(26046,26051) = 21 × 32 × 14471 × 1091 × 2391
LCM(26046,26051) = 678524346
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