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What is the Least Common Multiple of 52226 and 52246?

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 52226 and 52246 is 1364299798.

LCM(52226,52246) = 1364299798

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Least Common Multiple of 52226 and 52246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52226 and 52246, than apply into the LCM equation.

GCF(52226,52246) = 2
LCM(52226,52246) = ( 52226 × 52246) / 2
LCM(52226,52246) = 2728599596 / 2
LCM(52226,52246) = 1364299798

Least Common Multiple (LCM) of 52226 and 52246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52226 and 52246. First we will calculate the prime factors of 52226 and 52246.

Prime Factorization of 52226

Prime factors of 52226 are 2, 26113. Prime factorization of 52226 in exponential form is:

52226 = 21 × 261131

Prime Factorization of 52246

Prime factors of 52246 are 2, 151, 173. Prime factorization of 52246 in exponential form is:

52246 = 21 × 1511 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 52226 and 52246.

LCM(52226,52246) = 21 × 261131 × 1511 × 1731
LCM(52226,52246) = 1364299798