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What is the Least Common Multiple of 48818 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 48818 and 48835 is 2384027030.

LCM(48818,48835) = 2384027030

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Least Common Multiple of 48818 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 48818 and 48835, than apply into the LCM equation.

GCF(48818,48835) = 1
LCM(48818,48835) = ( 48818 × 48835) / 1
LCM(48818,48835) = 2384027030 / 1
LCM(48818,48835) = 2384027030

Least Common Multiple (LCM) of 48818 and 48835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48818 and 48835. First we will calculate the prime factors of 48818 and 48835.

Prime Factorization of 48818

Prime factors of 48818 are 2, 7, 11, 317. Prime factorization of 48818 in exponential form is:

48818 = 21 × 71 × 111 × 3171

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 48818 and 48835.

LCM(48818,48835) = 21 × 71 × 111 × 3171 × 51 × 97671
LCM(48818,48835) = 2384027030