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What is the Least Common Multiple of 79486 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 79486 and 79497 is 574445322.

LCM(79486,79497) = 574445322

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Least Common Multiple of 79486 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 79486 and 79497, than apply into the LCM equation.

GCF(79486,79497) = 11
LCM(79486,79497) = ( 79486 × 79497) / 11
LCM(79486,79497) = 6318898542 / 11
LCM(79486,79497) = 574445322

Least Common Multiple (LCM) of 79486 and 79497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79486 and 79497. First we will calculate the prime factors of 79486 and 79497.

Prime Factorization of 79486

Prime factors of 79486 are 2, 11, 3613. Prime factorization of 79486 in exponential form is:

79486 = 21 × 111 × 36131

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 79486 and 79497.

LCM(79486,79497) = 21 × 112 × 36131 × 32 × 731
LCM(79486,79497) = 574445322