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What is the Least Common Multiple of 57345 and 57350?

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 57345 and 57350 is 657747150.

LCM(57345,57350) = 657747150

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Least Common Multiple of 57345 and 57350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57345 and 57350, than apply into the LCM equation.

GCF(57345,57350) = 5
LCM(57345,57350) = ( 57345 × 57350) / 5
LCM(57345,57350) = 3288735750 / 5
LCM(57345,57350) = 657747150

Least Common Multiple (LCM) of 57345 and 57350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57345 and 57350. First we will calculate the prime factors of 57345 and 57350.

Prime Factorization of 57345

Prime factors of 57345 are 3, 5, 3823. Prime factorization of 57345 in exponential form is:

57345 = 31 × 51 × 38231

Prime Factorization of 57350

Prime factors of 57350 are 2, 5, 31, 37. Prime factorization of 57350 in exponential form is:

57350 = 21 × 52 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 57345 and 57350.

LCM(57345,57350) = 31 × 52 × 38231 × 21 × 311 × 371
LCM(57345,57350) = 657747150