What is the Least Common Multiple of 123 and 131?
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 131 is 16113.
LCM(123,131) = 16113
Least Common Multiple of 123 and 131 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 131, than apply into the LCM equation.
GCF(123,131) = 1
LCM(123,131) = ( 123 × 131) / 1
LCM(123,131) = 16113 / 1
LCM(123,131) = 16113
Least Common Multiple (LCM) of 123 and 131 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 123 and 131. First we will calculate the prime factors of 123 and 131.
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 131
Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:
131 = 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 123 and 131.
LCM(123,131) = 31 × 411 × 1311
LCM(123,131) = 16113
Related Least Common Multiples of 123
- LCM of 123 and 127
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Related Least Common Multiples of 131
- LCM of 131 and 135
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