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What is the Least Common Multiple of 60383 and 60387?

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 60383 and 60387 is 3646348221.

LCM(60383,60387) = 3646348221

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Least Common Multiple of 60383 and 60387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60383 and 60387, than apply into the LCM equation.

GCF(60383,60387) = 1
LCM(60383,60387) = ( 60383 × 60387) / 1
LCM(60383,60387) = 3646348221 / 1
LCM(60383,60387) = 3646348221

Least Common Multiple (LCM) of 60383 and 60387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60383 and 60387. First we will calculate the prime factors of 60383 and 60387.

Prime Factorization of 60383

Prime factors of 60383 are 60383. Prime factorization of 60383 in exponential form is:

60383 = 603831

Prime Factorization of 60387

Prime factors of 60387 are 3, 20129. Prime factorization of 60387 in exponential form is:

60387 = 31 × 201291

Now multiplying the highest exponent prime factors to calculate the LCM of 60383 and 60387.

LCM(60383,60387) = 603831 × 31 × 201291
LCM(60383,60387) = 3646348221