What is the Least Common Multiple of 12176 and 12189?
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 12176 and 12189 is 148413264.
LCM(12176,12189) = 148413264
Least Common Multiple of 12176 and 12189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12176 and 12189, than apply into the LCM equation.
GCF(12176,12189) = 1
LCM(12176,12189) = ( 12176 × 12189) / 1
LCM(12176,12189) = 148413264 / 1
LCM(12176,12189) = 148413264
Least Common Multiple (LCM) of 12176 and 12189 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12176 and 12189. First we will calculate the prime factors of 12176 and 12189.
Prime Factorization of 12176
Prime factors of 12176 are 2, 761. Prime factorization of 12176 in exponential form is:
12176 = 24 × 7611
Prime Factorization of 12189
Prime factors of 12189 are 3, 17, 239. Prime factorization of 12189 in exponential form is:
12189 = 31 × 171 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 12176 and 12189.
LCM(12176,12189) = 24 × 7611 × 31 × 171 × 2391
LCM(12176,12189) = 148413264
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