What is the Least Common Multiple of 26320 and 26332?
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 26320 and 26332 is 173264560.
LCM(26320,26332) = 173264560
Least Common Multiple of 26320 and 26332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26320 and 26332, than apply into the LCM equation.
GCF(26320,26332) = 4
LCM(26320,26332) = ( 26320 × 26332) / 4
LCM(26320,26332) = 693058240 / 4
LCM(26320,26332) = 173264560
Least Common Multiple (LCM) of 26320 and 26332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26320 and 26332. First we will calculate the prime factors of 26320 and 26332.
Prime Factorization of 26320
Prime factors of 26320 are 2, 5, 7, 47. Prime factorization of 26320 in exponential form is:
26320 = 24 × 51 × 71 × 471
Prime Factorization of 26332
Prime factors of 26332 are 2, 29, 227. Prime factorization of 26332 in exponential form is:
26332 = 22 × 291 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 26320 and 26332.
LCM(26320,26332) = 24 × 51 × 71 × 471 × 291 × 2271
LCM(26320,26332) = 173264560
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