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What is the Least Common Multiple of 63379 and 63398?

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 63379 and 63398 is 4018101842.

LCM(63379,63398) = 4018101842

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Least Common Multiple of 63379 and 63398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63379 and 63398, than apply into the LCM equation.

GCF(63379,63398) = 1
LCM(63379,63398) = ( 63379 × 63398) / 1
LCM(63379,63398) = 4018101842 / 1
LCM(63379,63398) = 4018101842

Least Common Multiple (LCM) of 63379 and 63398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63379 and 63398. First we will calculate the prime factors of 63379 and 63398.

Prime Factorization of 63379

Prime factors of 63379 are 61, 1039. Prime factorization of 63379 in exponential form is:

63379 = 611 × 10391

Prime Factorization of 63398

Prime factors of 63398 are 2, 31699. Prime factorization of 63398 in exponential form is:

63398 = 21 × 316991

Now multiplying the highest exponent prime factors to calculate the LCM of 63379 and 63398.

LCM(63379,63398) = 611 × 10391 × 21 × 316991
LCM(63379,63398) = 4018101842