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What is the Least Common Multiple of 52216 and 52226?

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 52216 and 52226 is 1363516408.

LCM(52216,52226) = 1363516408

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Least Common Multiple of 52216 and 52226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52216 and 52226, than apply into the LCM equation.

GCF(52216,52226) = 2
LCM(52216,52226) = ( 52216 × 52226) / 2
LCM(52216,52226) = 2727032816 / 2
LCM(52216,52226) = 1363516408

Least Common Multiple (LCM) of 52216 and 52226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52216 and 52226. First we will calculate the prime factors of 52216 and 52226.

Prime Factorization of 52216

Prime factors of 52216 are 2, 61, 107. Prime factorization of 52216 in exponential form is:

52216 = 23 × 611 × 1071

Prime Factorization of 52226

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

52226 = 21 × 261131

Now multiplying the highest exponent prime factors to calculate the LCM of 52216 and 52226.

LCM(52216,52226) = 23 × 611 × 1071 × 261131
LCM(52216,52226) = 1363516408