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What is the Least Common Multiple of 52255 and 52263?

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 52255 and 52263 is 2731003065.

LCM(52255,52263) = 2731003065

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Least Common Multiple of 52255 and 52263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52255 and 52263, than apply into the LCM equation.

GCF(52255,52263) = 1
LCM(52255,52263) = ( 52255 × 52263) / 1
LCM(52255,52263) = 2731003065 / 1
LCM(52255,52263) = 2731003065

Least Common Multiple (LCM) of 52255 and 52263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52255 and 52263. First we will calculate the prime factors of 52255 and 52263.

Prime Factorization of 52255

Prime factors of 52255 are 5, 7, 1493. Prime factorization of 52255 in exponential form is:

52255 = 51 × 71 × 14931

Prime Factorization of 52263

Prime factors of 52263 are 3, 5807. Prime factorization of 52263 in exponential form is:

52263 = 32 × 58071

Now multiplying the highest exponent prime factors to calculate the LCM of 52255 and 52263.

LCM(52255,52263) = 51 × 71 × 14931 × 32 × 58071
LCM(52255,52263) = 2731003065