What is the Least Common Multiple of 27842 and 27847?
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 27842 and 27847 is 775316174.
LCM(27842,27847) = 775316174
Least Common Multiple of 27842 and 27847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27842 and 27847, than apply into the LCM equation.
GCF(27842,27847) = 1
LCM(27842,27847) = ( 27842 × 27847) / 1
LCM(27842,27847) = 775316174 / 1
LCM(27842,27847) = 775316174
Least Common Multiple (LCM) of 27842 and 27847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27842 and 27847. First we will calculate the prime factors of 27842 and 27847.
Prime Factorization of 27842
Prime factors of 27842 are 2, 13921. Prime factorization of 27842 in exponential form is:
27842 = 21 × 139211
Prime Factorization of 27847
Prime factors of 27847 are 27847. Prime factorization of 27847 in exponential form is:
27847 = 278471
Now multiplying the highest exponent prime factors to calculate the LCM of 27842 and 27847.
LCM(27842,27847) = 21 × 139211 × 278471
LCM(27842,27847) = 775316174
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