What is the Least Common Multiple of 26212 and 26231?
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 26212 and 26231 is 687566972.
LCM(26212,26231) = 687566972
Least Common Multiple of 26212 and 26231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26212 and 26231, than apply into the LCM equation.
GCF(26212,26231) = 1
LCM(26212,26231) = ( 26212 × 26231) / 1
LCM(26212,26231) = 687566972 / 1
LCM(26212,26231) = 687566972
Least Common Multiple (LCM) of 26212 and 26231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26212 and 26231. First we will calculate the prime factors of 26212 and 26231.
Prime Factorization of 26212
Prime factors of 26212 are 2, 6553. Prime factorization of 26212 in exponential form is:
26212 = 22 × 65531
Prime Factorization of 26231
Prime factors of 26231 are 17, 1543. Prime factorization of 26231 in exponential form is:
26231 = 171 × 15431
Now multiplying the highest exponent prime factors to calculate the LCM of 26212 and 26231.
LCM(26212,26231) = 22 × 65531 × 171 × 15431
LCM(26212,26231) = 687566972
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