What is the Least Common Multiple of 123 and 142?
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 142 is 17466.
LCM(123,142) = 17466
Least Common Multiple of 123 and 142 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 142, than apply into the LCM equation.
GCF(123,142) = 1
LCM(123,142) = ( 123 × 142) / 1
LCM(123,142) = 17466 / 1
LCM(123,142) = 17466
Least Common Multiple (LCM) of 123 and 142 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 123 and 142. First we will calculate the prime factors of 123 and 142.
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 142
Prime factors of 142 are 2, 71. Prime factorization of 142 in exponential form is:
142 = 21 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 123 and 142.
LCM(123,142) = 31 × 411 × 21 × 711
LCM(123,142) = 17466
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Related Least Common Multiples of 142
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