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What is the Least Common Multiple of 48389 and 48407?

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 48389 and 48407 is 2342366323.

LCM(48389,48407) = 2342366323

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Least Common Multiple of 48389 and 48407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48389 and 48407, than apply into the LCM equation.

GCF(48389,48407) = 1
LCM(48389,48407) = ( 48389 × 48407) / 1
LCM(48389,48407) = 2342366323 / 1
LCM(48389,48407) = 2342366323

Least Common Multiple (LCM) of 48389 and 48407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48389 and 48407. First we will calculate the prime factors of 48389 and 48407.

Prime Factorization of 48389

Prime factors of 48389 are 11, 53, 83. Prime factorization of 48389 in exponential form is:

48389 = 111 × 531 × 831

Prime Factorization of 48407

Prime factors of 48407 are 48407. Prime factorization of 48407 in exponential form is:

48407 = 484071

Now multiplying the highest exponent prime factors to calculate the LCM of 48389 and 48407.

LCM(48389,48407) = 111 × 531 × 831 × 484071
LCM(48389,48407) = 2342366323