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What is the Least Common Multiple of 68201 and 68215?

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 68201 and 68215 is 664618745.

LCM(68201,68215) = 664618745

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Least Common Multiple of 68201 and 68215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68201 and 68215, than apply into the LCM equation.

GCF(68201,68215) = 7
LCM(68201,68215) = ( 68201 × 68215) / 7
LCM(68201,68215) = 4652331215 / 7
LCM(68201,68215) = 664618745

Least Common Multiple (LCM) of 68201 and 68215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68201 and 68215. First we will calculate the prime factors of 68201 and 68215.

Prime Factorization of 68201

Prime factors of 68201 are 7, 9743. Prime factorization of 68201 in exponential form is:

68201 = 71 × 97431

Prime Factorization of 68215

Prime factors of 68215 are 5, 7, 1949. Prime factorization of 68215 in exponential form is:

68215 = 51 × 71 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 68201 and 68215.

LCM(68201,68215) = 71 × 97431 × 51 × 19491
LCM(68201,68215) = 664618745