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What is the Least Common Multiple of 52226 and 52233?

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 52233 is 2727920658.

LCM(52226,52233) = 2727920658

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Least Common Multiple of 52226 and 52233 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 52233, than apply into the LCM equation.

GCF(52226,52233) = 1
LCM(52226,52233) = ( 52226 × 52233) / 1
LCM(52226,52233) = 2727920658 / 1
LCM(52226,52233) = 2727920658

Least Common Multiple (LCM) of 52226 and 52233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52226 and 52233. First we will calculate the prime factors of 52226 and 52233.

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 52233

Prime factors of 52233 are 3, 23, 757. Prime factorization of 52233 in exponential form is:

52233 = 31 × 231 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 52226 and 52233.

LCM(52226,52233) = 21 × 261131 × 31 × 231 × 7571
LCM(52226,52233) = 2727920658