What is the Least Common Multiple of 44878 and 44886?
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 44878 and 44886 is 1007196954.
LCM(44878,44886) = 1007196954
Least Common Multiple of 44878 and 44886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44878 and 44886, than apply into the LCM equation.
GCF(44878,44886) = 2
LCM(44878,44886) = ( 44878 × 44886) / 2
LCM(44878,44886) = 2014393908 / 2
LCM(44878,44886) = 1007196954
Least Common Multiple (LCM) of 44878 and 44886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44878 and 44886. First we will calculate the prime factors of 44878 and 44886.
Prime Factorization of 44878
Prime factors of 44878 are 2, 19, 1181. Prime factorization of 44878 in exponential form is:
44878 = 21 × 191 × 11811
Prime Factorization of 44886
Prime factors of 44886 are 2, 3, 7481. Prime factorization of 44886 in exponential form is:
44886 = 21 × 31 × 74811
Now multiplying the highest exponent prime factors to calculate the LCM of 44878 and 44886.
LCM(44878,44886) = 21 × 191 × 11811 × 31 × 74811
LCM(44878,44886) = 1007196954
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