What is the Least Common Multiple of 123 and 129?
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 123 and 129 is 5289.
LCM(123,129) = 5289
Least Common Multiple of 123 and 129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 123 and 129, than apply into the LCM equation.
GCF(123,129) = 3
LCM(123,129) = ( 123 × 129) / 3
LCM(123,129) = 15867 / 3
LCM(123,129) = 5289
Least Common Multiple (LCM) of 123 and 129 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 123 and 129. First we will calculate the prime factors of 123 and 129.
Prime Factorization of 123
Prime factors of 123 are 3, 41. Prime factorization of 123 in exponential form is:
123 = 31 × 411
Prime Factorization of 129
Prime factors of 129 are 3, 43. Prime factorization of 129 in exponential form is:
129 = 31 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 123 and 129.
LCM(123,129) = 31 × 411 × 431
LCM(123,129) = 5289
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Related Least Common Multiples of 129
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