What is the Least Common Multiple of 26117 and 26132?
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 26117 and 26132 is 682489444.
LCM(26117,26132) = 682489444
Least Common Multiple of 26117 and 26132 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26117 and 26132, than apply into the LCM equation.
GCF(26117,26132) = 1
LCM(26117,26132) = ( 26117 × 26132) / 1
LCM(26117,26132) = 682489444 / 1
LCM(26117,26132) = 682489444
Least Common Multiple (LCM) of 26117 and 26132 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26117 and 26132. First we will calculate the prime factors of 26117 and 26132.
Prime Factorization of 26117
Prime factors of 26117 are 7, 13, 41. Prime factorization of 26117 in exponential form is:
26117 = 72 × 131 × 411
Prime Factorization of 26132
Prime factors of 26132 are 2, 47, 139. Prime factorization of 26132 in exponential form is:
26132 = 22 × 471 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 26117 and 26132.
LCM(26117,26132) = 72 × 131 × 411 × 22 × 471 × 1391
LCM(26117,26132) = 682489444
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