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What is the Least Common Multiple of 48782 and 48793?

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 48793 is 2380220126.

LCM(48782,48793) = 2380220126

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Least Common Multiple of 48782 and 48793 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 48793, than apply into the LCM equation.

GCF(48782,48793) = 1
LCM(48782,48793) = ( 48782 × 48793) / 1
LCM(48782,48793) = 2380220126 / 1
LCM(48782,48793) = 2380220126

Least Common Multiple (LCM) of 48782 and 48793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48782 and 48793. First we will calculate the prime factors of 48782 and 48793.

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 48793

Prime factors of 48793 are 59, 827. Prime factorization of 48793 in exponential form is:

48793 = 591 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 48782 and 48793.

LCM(48782,48793) = 21 × 243911 × 591 × 8271
LCM(48782,48793) = 2380220126