What is the Least Common Multiple of 12055 and 12064?
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 12055 and 12064 is 145431520.
LCM(12055,12064) = 145431520
Least Common Multiple of 12055 and 12064 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12055 and 12064, than apply into the LCM equation.
GCF(12055,12064) = 1
LCM(12055,12064) = ( 12055 × 12064) / 1
LCM(12055,12064) = 145431520 / 1
LCM(12055,12064) = 145431520
Least Common Multiple (LCM) of 12055 and 12064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12055 and 12064. First we will calculate the prime factors of 12055 and 12064.
Prime Factorization of 12055
Prime factors of 12055 are 5, 2411. Prime factorization of 12055 in exponential form is:
12055 = 51 × 24111
Prime Factorization of 12064
Prime factors of 12064 are 2, 13, 29. Prime factorization of 12064 in exponential form is:
12064 = 25 × 131 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 12055 and 12064.
LCM(12055,12064) = 51 × 24111 × 25 × 131 × 291
LCM(12055,12064) = 145431520
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