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What is the Least Common Multiple of 79482 and 79497?

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 79482 and 79497 is 2106193518.

LCM(79482,79497) = 2106193518

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Least Common Multiple of 79482 and 79497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79482 and 79497, than apply into the LCM equation.

GCF(79482,79497) = 3
LCM(79482,79497) = ( 79482 × 79497) / 3
LCM(79482,79497) = 6318580554 / 3
LCM(79482,79497) = 2106193518

Least Common Multiple (LCM) of 79482 and 79497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79482 and 79497. First we will calculate the prime factors of 79482 and 79497.

Prime Factorization of 79482

Prime factors of 79482 are 2, 3, 13, 1019. Prime factorization of 79482 in exponential form is:

79482 = 21 × 31 × 131 × 10191

Prime Factorization of 79497

Prime factors of 79497 are 3, 11, 73. Prime factorization of 79497 in exponential form is:

79497 = 32 × 112 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 79482 and 79497.

LCM(79482,79497) = 21 × 32 × 131 × 10191 × 112 × 731
LCM(79482,79497) = 2106193518