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What is the Least Common Multiple of 79276 and 79287?

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 79276 and 79287 is 6285556212.

LCM(79276,79287) = 6285556212

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Least Common Multiple of 79276 and 79287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79276 and 79287, than apply into the LCM equation.

GCF(79276,79287) = 1
LCM(79276,79287) = ( 79276 × 79287) / 1
LCM(79276,79287) = 6285556212 / 1
LCM(79276,79287) = 6285556212

Least Common Multiple (LCM) of 79276 and 79287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79276 and 79287. First we will calculate the prime factors of 79276 and 79287.

Prime Factorization of 79276

Prime factors of 79276 are 2, 19819. Prime factorization of 79276 in exponential form is:

79276 = 22 × 198191

Prime Factorization of 79287

Prime factors of 79287 are 3, 13, 19, 107. Prime factorization of 79287 in exponential form is:

79287 = 31 × 131 × 191 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 79276 and 79287.

LCM(79276,79287) = 22 × 198191 × 31 × 131 × 191 × 1071
LCM(79276,79287) = 6285556212