What is the Least Common Multiple of 12026 and 12030?
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 12026 and 12030 is 72336390.
LCM(12026,12030) = 72336390
Least Common Multiple of 12026 and 12030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12026 and 12030, than apply into the LCM equation.
GCF(12026,12030) = 2
LCM(12026,12030) = ( 12026 × 12030) / 2
LCM(12026,12030) = 144672780 / 2
LCM(12026,12030) = 72336390
Least Common Multiple (LCM) of 12026 and 12030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12026 and 12030. First we will calculate the prime factors of 12026 and 12030.
Prime Factorization of 12026
Prime factors of 12026 are 2, 7, 859. Prime factorization of 12026 in exponential form is:
12026 = 21 × 71 × 8591
Prime Factorization of 12030
Prime factors of 12030 are 2, 3, 5, 401. Prime factorization of 12030 in exponential form is:
12030 = 21 × 31 × 51 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 12026 and 12030.
LCM(12026,12030) = 21 × 71 × 8591 × 31 × 51 × 4011
LCM(12026,12030) = 72336390
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