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What is the Least Common Multiple of 79466 and 79476?

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 79466 and 79476 is 3157819908.

LCM(79466,79476) = 3157819908

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Least Common Multiple of 79466 and 79476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79466 and 79476, than apply into the LCM equation.

GCF(79466,79476) = 2
LCM(79466,79476) = ( 79466 × 79476) / 2
LCM(79466,79476) = 6315639816 / 2
LCM(79466,79476) = 3157819908

Least Common Multiple (LCM) of 79466 and 79476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79466 and 79476. First we will calculate the prime factors of 79466 and 79476.

Prime Factorization of 79466

Prime factors of 79466 are 2, 39733. Prime factorization of 79466 in exponential form is:

79466 = 21 × 397331

Prime Factorization of 79476

Prime factors of 79476 are 2, 3, 37, 179. Prime factorization of 79476 in exponential form is:

79476 = 22 × 31 × 371 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 79466 and 79476.

LCM(79466,79476) = 22 × 397331 × 31 × 371 × 1791
LCM(79466,79476) = 3157819908