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What is the Least Common Multiple of 53063 and 53073?

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 53063 and 53073 is 2816212599.

LCM(53063,53073) = 2816212599

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Least Common Multiple of 53063 and 53073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53063 and 53073, than apply into the LCM equation.

GCF(53063,53073) = 1
LCM(53063,53073) = ( 53063 × 53073) / 1
LCM(53063,53073) = 2816212599 / 1
LCM(53063,53073) = 2816212599

Least Common Multiple (LCM) of 53063 and 53073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53063 and 53073. First we will calculate the prime factors of 53063 and 53073.

Prime Factorization of 53063

Prime factors of 53063 are 47, 1129. Prime factorization of 53063 in exponential form is:

53063 = 471 × 11291

Prime Factorization of 53073

Prime factors of 53073 are 3, 5897. Prime factorization of 53073 in exponential form is:

53073 = 32 × 58971

Now multiplying the highest exponent prime factors to calculate the LCM of 53063 and 53073.

LCM(53063,53073) = 471 × 11291 × 32 × 58971
LCM(53063,53073) = 2816212599