What is the Least Common Multiple of 10942 and 10947?
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 10942 and 10947 is 119782074.
LCM(10942,10947) = 119782074
Least Common Multiple of 10942 and 10947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10942 and 10947, than apply into the LCM equation.
GCF(10942,10947) = 1
LCM(10942,10947) = ( 10942 × 10947) / 1
LCM(10942,10947) = 119782074 / 1
LCM(10942,10947) = 119782074
Least Common Multiple (LCM) of 10942 and 10947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10942 and 10947. First we will calculate the prime factors of 10942 and 10947.
Prime Factorization of 10942
Prime factors of 10942 are 2, 5471. Prime factorization of 10942 in exponential form is:
10942 = 21 × 54711
Prime Factorization of 10947
Prime factors of 10947 are 3, 41, 89. Prime factorization of 10947 in exponential form is:
10947 = 31 × 411 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 10942 and 10947.
LCM(10942,10947) = 21 × 54711 × 31 × 411 × 891
LCM(10942,10947) = 119782074
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