What is the Least Common Multiple of 47935 and 47942?
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 47935 and 47942 is 2298099770.
LCM(47935,47942) = 2298099770
Least Common Multiple of 47935 and 47942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47935 and 47942, than apply into the LCM equation.
GCF(47935,47942) = 1
LCM(47935,47942) = ( 47935 × 47942) / 1
LCM(47935,47942) = 2298099770 / 1
LCM(47935,47942) = 2298099770
Least Common Multiple (LCM) of 47935 and 47942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47935 and 47942. First we will calculate the prime factors of 47935 and 47942.
Prime Factorization of 47935
Prime factors of 47935 are 5, 9587. Prime factorization of 47935 in exponential form is:
47935 = 51 × 95871
Prime Factorization of 47942
Prime factors of 47942 are 2, 23971. Prime factorization of 47942 in exponential form is:
47942 = 21 × 239711
Now multiplying the highest exponent prime factors to calculate the LCM of 47935 and 47942.
LCM(47935,47942) = 51 × 95871 × 21 × 239711
LCM(47935,47942) = 2298099770
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