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What is the Least Common Multiple of 48782 and 48801?

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 48782 and 48801 is 2380610382.

LCM(48782,48801) = 2380610382

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Least Common Multiple of 48782 and 48801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48782 and 48801, than apply into the LCM equation.

GCF(48782,48801) = 1
LCM(48782,48801) = ( 48782 × 48801) / 1
LCM(48782,48801) = 2380610382 / 1
LCM(48782,48801) = 2380610382

Least Common Multiple (LCM) of 48782 and 48801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48782 and 48801. First we will calculate the prime factors of 48782 and 48801.

Prime Factorization of 48782

Prime factors of 48782 are 2, 24391. Prime factorization of 48782 in exponential form is:

48782 = 21 × 243911

Prime Factorization of 48801

Prime factors of 48801 are 3, 16267. Prime factorization of 48801 in exponential form is:

48801 = 31 × 162671

Now multiplying the highest exponent prime factors to calculate the LCM of 48782 and 48801.

LCM(48782,48801) = 21 × 243911 × 31 × 162671
LCM(48782,48801) = 2380610382