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What is the Least Common Multiple of 26183 and 26199?

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 26183 and 26199 is 685968417.

LCM(26183,26199) = 685968417

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Least Common Multiple of 26183 and 26199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26183 and 26199, than apply into the LCM equation.

GCF(26183,26199) = 1
LCM(26183,26199) = ( 26183 × 26199) / 1
LCM(26183,26199) = 685968417 / 1
LCM(26183,26199) = 685968417

Least Common Multiple (LCM) of 26183 and 26199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26183 and 26199. First we will calculate the prime factors of 26183 and 26199.

Prime Factorization of 26183

Prime factors of 26183 are 26183. Prime factorization of 26183 in exponential form is:

26183 = 261831

Prime Factorization of 26199

Prime factors of 26199 are 3, 41, 71. Prime factorization of 26199 in exponential form is:

26199 = 32 × 411 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 26183 and 26199.

LCM(26183,26199) = 261831 × 32 × 411 × 711
LCM(26183,26199) = 685968417