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What is the Least Common Multiple of 68370 and 68375?

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 68370 and 68375 is 934959750.

LCM(68370,68375) = 934959750

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Least Common Multiple of 68370 and 68375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68370 and 68375, than apply into the LCM equation.

GCF(68370,68375) = 5
LCM(68370,68375) = ( 68370 × 68375) / 5
LCM(68370,68375) = 4674798750 / 5
LCM(68370,68375) = 934959750

Least Common Multiple (LCM) of 68370 and 68375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68370 and 68375. First we will calculate the prime factors of 68370 and 68375.

Prime Factorization of 68370

Prime factors of 68370 are 2, 3, 5, 43, 53. Prime factorization of 68370 in exponential form is:

68370 = 21 × 31 × 51 × 431 × 531

Prime Factorization of 68375

Prime factors of 68375 are 5, 547. Prime factorization of 68375 in exponential form is:

68375 = 53 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 68370 and 68375.

LCM(68370,68375) = 21 × 31 × 53 × 431 × 531 × 5471
LCM(68370,68375) = 934959750