What is the Least Common Multiple of 26102 and 26111?
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 26102 and 26111 is 681549322.
LCM(26102,26111) = 681549322
Least Common Multiple of 26102 and 26111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26102 and 26111, than apply into the LCM equation.
GCF(26102,26111) = 1
LCM(26102,26111) = ( 26102 × 26111) / 1
LCM(26102,26111) = 681549322 / 1
LCM(26102,26111) = 681549322
Least Common Multiple (LCM) of 26102 and 26111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26102 and 26111. First we will calculate the prime factors of 26102 and 26111.
Prime Factorization of 26102
Prime factors of 26102 are 2, 31, 421. Prime factorization of 26102 in exponential form is:
26102 = 21 × 311 × 4211
Prime Factorization of 26111
Prime factors of 26111 are 26111. Prime factorization of 26111 in exponential form is:
26111 = 261111
Now multiplying the highest exponent prime factors to calculate the LCM of 26102 and 26111.
LCM(26102,26111) = 21 × 311 × 4211 × 261111
LCM(26102,26111) = 681549322
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