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What is the Least Common Multiple of 57185 and 57202?

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 57185 and 57202 is 3271096370.

LCM(57185,57202) = 3271096370

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Least Common Multiple of 57185 and 57202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57185 and 57202, than apply into the LCM equation.

GCF(57185,57202) = 1
LCM(57185,57202) = ( 57185 × 57202) / 1
LCM(57185,57202) = 3271096370 / 1
LCM(57185,57202) = 3271096370

Least Common Multiple (LCM) of 57185 and 57202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57185 and 57202. First we will calculate the prime factors of 57185 and 57202.

Prime Factorization of 57185

Prime factors of 57185 are 5, 11437. Prime factorization of 57185 in exponential form is:

57185 = 51 × 114371

Prime Factorization of 57202

Prime factors of 57202 are 2, 37, 773. Prime factorization of 57202 in exponential form is:

57202 = 21 × 371 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 57185 and 57202.

LCM(57185,57202) = 51 × 114371 × 21 × 371 × 7731
LCM(57185,57202) = 3271096370