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What is the Least Common Multiple of 48489 and 48506?

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 48489 and 48506 is 2352007434.

LCM(48489,48506) = 2352007434

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Least Common Multiple of 48489 and 48506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48489 and 48506, than apply into the LCM equation.

GCF(48489,48506) = 1
LCM(48489,48506) = ( 48489 × 48506) / 1
LCM(48489,48506) = 2352007434 / 1
LCM(48489,48506) = 2352007434

Least Common Multiple (LCM) of 48489 and 48506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48489 and 48506. First we will calculate the prime factors of 48489 and 48506.

Prime Factorization of 48489

Prime factors of 48489 are 3, 7, 2309. Prime factorization of 48489 in exponential form is:

48489 = 31 × 71 × 23091

Prime Factorization of 48506

Prime factors of 48506 are 2, 79, 307. Prime factorization of 48506 in exponential form is:

48506 = 21 × 791 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 48489 and 48506.

LCM(48489,48506) = 31 × 71 × 23091 × 21 × 791 × 3071
LCM(48489,48506) = 2352007434