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What is the Least Common Multiple of 61363 and 61379?

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 61363 and 61379 is 3766399577.

LCM(61363,61379) = 3766399577

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Least Common Multiple of 61363 and 61379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61363 and 61379, than apply into the LCM equation.

GCF(61363,61379) = 1
LCM(61363,61379) = ( 61363 × 61379) / 1
LCM(61363,61379) = 3766399577 / 1
LCM(61363,61379) = 3766399577

Least Common Multiple (LCM) of 61363 and 61379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61363 and 61379. First we will calculate the prime factors of 61363 and 61379.

Prime Factorization of 61363

Prime factors of 61363 are 61363. Prime factorization of 61363 in exponential form is:

61363 = 613631

Prime Factorization of 61379

Prime factors of 61379 are 61379. Prime factorization of 61379 in exponential form is:

61379 = 613791

Now multiplying the highest exponent prime factors to calculate the LCM of 61363 and 61379.

LCM(61363,61379) = 613631 × 613791
LCM(61363,61379) = 3766399577