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What is the Least Common Multiple of 48053 and 48071?

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 48053 and 48071 is 2309955763.

LCM(48053,48071) = 2309955763

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Least Common Multiple of 48053 and 48071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48053 and 48071, than apply into the LCM equation.

GCF(48053,48071) = 1
LCM(48053,48071) = ( 48053 × 48071) / 1
LCM(48053,48071) = 2309955763 / 1
LCM(48053,48071) = 2309955763

Least Common Multiple (LCM) of 48053 and 48071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48053 and 48071. First we will calculate the prime factors of 48053 and 48071.

Prime Factorization of 48053

Prime factors of 48053 are 29, 1657. Prime factorization of 48053 in exponential form is:

48053 = 291 × 16571

Prime Factorization of 48071

Prime factors of 48071 are 53, 907. Prime factorization of 48071 in exponential form is:

48071 = 531 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 48053 and 48071.

LCM(48053,48071) = 291 × 16571 × 531 × 9071
LCM(48053,48071) = 2309955763