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What is the Least Common Multiple of 52046 and 52051?

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 52046 and 52051 is 2709046346.

LCM(52046,52051) = 2709046346

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Least Common Multiple of 52046 and 52051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52046 and 52051, than apply into the LCM equation.

GCF(52046,52051) = 1
LCM(52046,52051) = ( 52046 × 52051) / 1
LCM(52046,52051) = 2709046346 / 1
LCM(52046,52051) = 2709046346

Least Common Multiple (LCM) of 52046 and 52051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52046 and 52051. First we will calculate the prime factors of 52046 and 52051.

Prime Factorization of 52046

Prime factors of 52046 are 2, 53, 491. Prime factorization of 52046 in exponential form is:

52046 = 21 × 531 × 4911

Prime Factorization of 52051

Prime factors of 52051 are 52051. Prime factorization of 52051 in exponential form is:

52051 = 520511

Now multiplying the highest exponent prime factors to calculate the LCM of 52046 and 52051.

LCM(52046,52051) = 21 × 531 × 4911 × 520511
LCM(52046,52051) = 2709046346