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What is the Least Common Multiple of 52183 and 52193?

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 52183 and 52193 is 2723587319.

LCM(52183,52193) = 2723587319

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Least Common Multiple of 52183 and 52193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52183 and 52193, than apply into the LCM equation.

GCF(52183,52193) = 1
LCM(52183,52193) = ( 52183 × 52193) / 1
LCM(52183,52193) = 2723587319 / 1
LCM(52183,52193) = 2723587319

Least Common Multiple (LCM) of 52183 and 52193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52183 and 52193. First we will calculate the prime factors of 52183 and 52193.

Prime Factorization of 52183

Prime factors of 52183 are 52183. Prime factorization of 52183 in exponential form is:

52183 = 521831

Prime Factorization of 52193

Prime factors of 52193 are 19, 41, 67. Prime factorization of 52193 in exponential form is:

52193 = 191 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 52183 and 52193.

LCM(52183,52193) = 521831 × 191 × 411 × 671
LCM(52183,52193) = 2723587319