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What is the Least Common Multiple of 62387 and 62394?

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 62387 and 62394 is 3892574478.

LCM(62387,62394) = 3892574478

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Least Common Multiple of 62387 and 62394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62387 and 62394, than apply into the LCM equation.

GCF(62387,62394) = 1
LCM(62387,62394) = ( 62387 × 62394) / 1
LCM(62387,62394) = 3892574478 / 1
LCM(62387,62394) = 3892574478

Least Common Multiple (LCM) of 62387 and 62394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62387 and 62394. First we will calculate the prime factors of 62387 and 62394.

Prime Factorization of 62387

Prime factors of 62387 are 13, 4799. Prime factorization of 62387 in exponential form is:

62387 = 131 × 47991

Prime Factorization of 62394

Prime factors of 62394 are 2, 3, 10399. Prime factorization of 62394 in exponential form is:

62394 = 21 × 31 × 103991

Now multiplying the highest exponent prime factors to calculate the LCM of 62387 and 62394.

LCM(62387,62394) = 131 × 47991 × 21 × 31 × 103991
LCM(62387,62394) = 3892574478