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What is the Least Common Multiple of 79321 and 79327?

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 79321 and 79327 is 6292296967.

LCM(79321,79327) = 6292296967

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Least Common Multiple of 79321 and 79327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79321 and 79327, than apply into the LCM equation.

GCF(79321,79327) = 1
LCM(79321,79327) = ( 79321 × 79327) / 1
LCM(79321,79327) = 6292296967 / 1
LCM(79321,79327) = 6292296967

Least Common Multiple (LCM) of 79321 and 79327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79321 and 79327. First we will calculate the prime factors of 79321 and 79327.

Prime Factorization of 79321

Prime factors of 79321 are 11, 7211. Prime factorization of 79321 in exponential form is:

79321 = 111 × 72111

Prime Factorization of 79327

Prime factors of 79327 are 23, 3449. Prime factorization of 79327 in exponential form is:

79327 = 231 × 34491

Now multiplying the highest exponent prime factors to calculate the LCM of 79321 and 79327.

LCM(79321,79327) = 111 × 72111 × 231 × 34491
LCM(79321,79327) = 6292296967