What is the Least Common Multiple of 26124 and 26143?
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 26124 and 26143 is 682959732.
LCM(26124,26143) = 682959732
Least Common Multiple of 26124 and 26143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26124 and 26143, than apply into the LCM equation.
GCF(26124,26143) = 1
LCM(26124,26143) = ( 26124 × 26143) / 1
LCM(26124,26143) = 682959732 / 1
LCM(26124,26143) = 682959732
Least Common Multiple (LCM) of 26124 and 26143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26124 and 26143. First we will calculate the prime factors of 26124 and 26143.
Prime Factorization of 26124
Prime factors of 26124 are 2, 3, 7, 311. Prime factorization of 26124 in exponential form is:
26124 = 22 × 31 × 71 × 3111
Prime Factorization of 26143
Prime factors of 26143 are 13, 2011. Prime factorization of 26143 in exponential form is:
26143 = 131 × 20111
Now multiplying the highest exponent prime factors to calculate the LCM of 26124 and 26143.
LCM(26124,26143) = 22 × 31 × 71 × 3111 × 131 × 20111
LCM(26124,26143) = 682959732
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