What is the Least Common Multiple of 47878 and 47885?
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 47878 and 47885 is 2292638030.
LCM(47878,47885) = 2292638030
Least Common Multiple of 47878 and 47885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47878 and 47885, than apply into the LCM equation.
GCF(47878,47885) = 1
LCM(47878,47885) = ( 47878 × 47885) / 1
LCM(47878,47885) = 2292638030 / 1
LCM(47878,47885) = 2292638030
Least Common Multiple (LCM) of 47878 and 47885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47878 and 47885. First we will calculate the prime factors of 47878 and 47885.
Prime Factorization of 47878
Prime factors of 47878 are 2, 37, 647. Prime factorization of 47878 in exponential form is:
47878 = 21 × 371 × 6471
Prime Factorization of 47885
Prime factors of 47885 are 5, 61, 157. Prime factorization of 47885 in exponential form is:
47885 = 51 × 611 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 47878 and 47885.
LCM(47878,47885) = 21 × 371 × 6471 × 51 × 611 × 1571
LCM(47878,47885) = 2292638030
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