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What is the Least Common Multiple of 79482 and 79492?

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 79492 is 3159091572.

LCM(79482,79492) = 3159091572

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Least Common Multiple of 79482 and 79492 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 79492, than apply into the LCM equation.

GCF(79482,79492) = 2
LCM(79482,79492) = ( 79482 × 79492) / 2
LCM(79482,79492) = 6318183144 / 2
LCM(79482,79492) = 3159091572

Least Common Multiple (LCM) of 79482 and 79492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79482 and 79492. First we will calculate the prime factors of 79482 and 79492.

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 79492

Prime factors of 79492 are 2, 7, 17, 167. Prime factorization of 79492 in exponential form is:

79492 = 22 × 71 × 171 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 79482 and 79492.

LCM(79482,79492) = 22 × 31 × 131 × 10191 × 71 × 171 × 1671
LCM(79482,79492) = 3159091572