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What is the Least Common Multiple of 53051 and 53063?

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 53051 and 53063 is 2815045213.

LCM(53051,53063) = 2815045213

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Least Common Multiple of 53051 and 53063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53051 and 53063, than apply into the LCM equation.

GCF(53051,53063) = 1
LCM(53051,53063) = ( 53051 × 53063) / 1
LCM(53051,53063) = 2815045213 / 1
LCM(53051,53063) = 2815045213

Least Common Multiple (LCM) of 53051 and 53063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53051 and 53063. First we will calculate the prime factors of 53051 and 53063.

Prime Factorization of 53051

Prime factors of 53051 are 53051. Prime factorization of 53051 in exponential form is:

53051 = 530511

Prime Factorization of 53063

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

53063 = 471 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 53051 and 53063.

LCM(53051,53063) = 530511 × 471 × 11291
LCM(53051,53063) = 2815045213