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What is the Least Common Multiple of 67195 and 67215?

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 67195 and 67215 is 903302385.

LCM(67195,67215) = 903302385

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Least Common Multiple of 67195 and 67215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67195 and 67215, than apply into the LCM equation.

GCF(67195,67215) = 5
LCM(67195,67215) = ( 67195 × 67215) / 5
LCM(67195,67215) = 4516511925 / 5
LCM(67195,67215) = 903302385

Least Common Multiple (LCM) of 67195 and 67215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67195 and 67215. First we will calculate the prime factors of 67195 and 67215.

Prime Factorization of 67195

Prime factors of 67195 are 5, 89, 151. Prime factorization of 67195 in exponential form is:

67195 = 51 × 891 × 1511

Prime Factorization of 67215

Prime factors of 67215 are 3, 5, 4481. Prime factorization of 67215 in exponential form is:

67215 = 31 × 51 × 44811

Now multiplying the highest exponent prime factors to calculate the LCM of 67195 and 67215.

LCM(67195,67215) = 51 × 891 × 1511 × 31 × 44811
LCM(67195,67215) = 903302385