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What is the Least Common Multiple of 79354 and 79361?

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 79354 and 79361 is 6297612794.

LCM(79354,79361) = 6297612794

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Least Common Multiple of 79354 and 79361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79354 and 79361, than apply into the LCM equation.

GCF(79354,79361) = 1
LCM(79354,79361) = ( 79354 × 79361) / 1
LCM(79354,79361) = 6297612794 / 1
LCM(79354,79361) = 6297612794

Least Common Multiple (LCM) of 79354 and 79361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79354 and 79361. First we will calculate the prime factors of 79354 and 79361.

Prime Factorization of 79354

Prime factors of 79354 are 2, 11, 3607. Prime factorization of 79354 in exponential form is:

79354 = 21 × 111 × 36071

Prime Factorization of 79361

Prime factors of 79361 are 61, 1301. Prime factorization of 79361 in exponential form is:

79361 = 611 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 79354 and 79361.

LCM(79354,79361) = 21 × 111 × 36071 × 611 × 13011
LCM(79354,79361) = 6297612794