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What is the Least Common Multiple of 55319 and 55336?

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 55319 and 55336 is 3061132184.

LCM(55319,55336) = 3061132184

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Least Common Multiple of 55319 and 55336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55319 and 55336, than apply into the LCM equation.

GCF(55319,55336) = 1
LCM(55319,55336) = ( 55319 × 55336) / 1
LCM(55319,55336) = 3061132184 / 1
LCM(55319,55336) = 3061132184

Least Common Multiple (LCM) of 55319 and 55336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55319 and 55336. First we will calculate the prime factors of 55319 and 55336.

Prime Factorization of 55319

Prime factors of 55319 are 11, 47, 107. Prime factorization of 55319 in exponential form is:

55319 = 111 × 471 × 1071

Prime Factorization of 55336

Prime factors of 55336 are 2, 6917. Prime factorization of 55336 in exponential form is:

55336 = 23 × 69171

Now multiplying the highest exponent prime factors to calculate the LCM of 55319 and 55336.

LCM(55319,55336) = 111 × 471 × 1071 × 23 × 69171
LCM(55319,55336) = 3061132184