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What is the Least Common Multiple of 79234 and 79247?

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 79234 and 79247 is 6279056798.

LCM(79234,79247) = 6279056798

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Least Common Multiple of 79234 and 79247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79234 and 79247, than apply into the LCM equation.

GCF(79234,79247) = 1
LCM(79234,79247) = ( 79234 × 79247) / 1
LCM(79234,79247) = 6279056798 / 1
LCM(79234,79247) = 6279056798

Least Common Multiple (LCM) of 79234 and 79247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79234 and 79247. First we will calculate the prime factors of 79234 and 79247.

Prime Factorization of 79234

Prime factors of 79234 are 2, 173, 229. Prime factorization of 79234 in exponential form is:

79234 = 21 × 1731 × 2291

Prime Factorization of 79247

Prime factors of 79247 are 7, 11321. Prime factorization of 79247 in exponential form is:

79247 = 71 × 113211

Now multiplying the highest exponent prime factors to calculate the LCM of 79234 and 79247.

LCM(79234,79247) = 21 × 1731 × 2291 × 71 × 113211
LCM(79234,79247) = 6279056798