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What is the Least Common Multiple of 51251 and 51263?

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 51251 and 51263 is 2627280013.

LCM(51251,51263) = 2627280013

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Least Common Multiple of 51251 and 51263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51251 and 51263, than apply into the LCM equation.

GCF(51251,51263) = 1
LCM(51251,51263) = ( 51251 × 51263) / 1
LCM(51251,51263) = 2627280013 / 1
LCM(51251,51263) = 2627280013

Least Common Multiple (LCM) of 51251 and 51263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51251 and 51263. First we will calculate the prime factors of 51251 and 51263.

Prime Factorization of 51251

Prime factors of 51251 are 53, 967. Prime factorization of 51251 in exponential form is:

51251 = 531 × 9671

Prime Factorization of 51263

Prime factors of 51263 are 51263. Prime factorization of 51263 in exponential form is:

51263 = 512631

Now multiplying the highest exponent prime factors to calculate the LCM of 51251 and 51263.

LCM(51251,51263) = 531 × 9671 × 512631
LCM(51251,51263) = 2627280013