What is the Least Common Multiple of 11925 and 11942?
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 11925 and 11942 is 142408350.
LCM(11925,11942) = 142408350
Least Common Multiple of 11925 and 11942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11925 and 11942, than apply into the LCM equation.
GCF(11925,11942) = 1
LCM(11925,11942) = ( 11925 × 11942) / 1
LCM(11925,11942) = 142408350 / 1
LCM(11925,11942) = 142408350
Least Common Multiple (LCM) of 11925 and 11942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11925 and 11942. First we will calculate the prime factors of 11925 and 11942.
Prime Factorization of 11925
Prime factors of 11925 are 3, 5, 53. Prime factorization of 11925 in exponential form is:
11925 = 32 × 52 × 531
Prime Factorization of 11942
Prime factors of 11942 are 2, 7, 853. Prime factorization of 11942 in exponential form is:
11942 = 21 × 71 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 11925 and 11942.
LCM(11925,11942) = 32 × 52 × 531 × 21 × 71 × 8531
LCM(11925,11942) = 142408350
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