What is the Least Common Multiple of 48817 and 48835?
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 48817 and 48835 is 2383978195.
LCM(48817,48835) = 2383978195
Least Common Multiple of 48817 and 48835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48817 and 48835, than apply into the LCM equation.
GCF(48817,48835) = 1
LCM(48817,48835) = ( 48817 × 48835) / 1
LCM(48817,48835) = 2383978195 / 1
LCM(48817,48835) = 2383978195
Least Common Multiple (LCM) of 48817 and 48835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48817 and 48835. First we will calculate the prime factors of 48817 and 48835.
Prime Factorization of 48817
Prime factors of 48817 are 48817. Prime factorization of 48817 in exponential form is:
48817 = 488171
Prime Factorization of 48835
Prime factors of 48835 are 5, 9767. Prime factorization of 48835 in exponential form is:
48835 = 51 × 97671
Now multiplying the highest exponent prime factors to calculate the LCM of 48817 and 48835.
LCM(48817,48835) = 488171 × 51 × 97671
LCM(48817,48835) = 2383978195
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