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What is the Least Common Multiple of 26216 and 26221?

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 26216 and 26221 is 687409736.

LCM(26216,26221) = 687409736

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Least Common Multiple of 26216 and 26221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26216 and 26221, than apply into the LCM equation.

GCF(26216,26221) = 1
LCM(26216,26221) = ( 26216 × 26221) / 1
LCM(26216,26221) = 687409736 / 1
LCM(26216,26221) = 687409736

Least Common Multiple (LCM) of 26216 and 26221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26216 and 26221. First we will calculate the prime factors of 26216 and 26221.

Prime Factorization of 26216

Prime factors of 26216 are 2, 29, 113. Prime factorization of 26216 in exponential form is:

26216 = 23 × 291 × 1131

Prime Factorization of 26221

Prime factors of 26221 are 13, 2017. Prime factorization of 26221 in exponential form is:

26221 = 131 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 26216 and 26221.

LCM(26216,26221) = 23 × 291 × 1131 × 131 × 20171
LCM(26216,26221) = 687409736