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What is the Least Common Multiple of 60391 and 60403?

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 60391 and 60403 is 3647797573.

LCM(60391,60403) = 3647797573

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Least Common Multiple of 60391 and 60403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60391 and 60403, than apply into the LCM equation.

GCF(60391,60403) = 1
LCM(60391,60403) = ( 60391 × 60403) / 1
LCM(60391,60403) = 3647797573 / 1
LCM(60391,60403) = 3647797573

Least Common Multiple (LCM) of 60391 and 60403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60391 and 60403. First we will calculate the prime factors of 60391 and 60403.

Prime Factorization of 60391

Prime factors of 60391 are 131, 461. Prime factorization of 60391 in exponential form is:

60391 = 1311 × 4611

Prime Factorization of 60403

Prime factors of 60403 are 7, 8629. Prime factorization of 60403 in exponential form is:

60403 = 71 × 86291

Now multiplying the highest exponent prime factors to calculate the LCM of 60391 and 60403.

LCM(60391,60403) = 1311 × 4611 × 71 × 86291
LCM(60391,60403) = 3647797573