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What is the Least Common Multiple of 86267 and 86276?

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 86267 and 86276 is 7442771692.

LCM(86267,86276) = 7442771692

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Least Common Multiple of 86267 and 86276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86267 and 86276, than apply into the LCM equation.

GCF(86267,86276) = 1
LCM(86267,86276) = ( 86267 × 86276) / 1
LCM(86267,86276) = 7442771692 / 1
LCM(86267,86276) = 7442771692

Least Common Multiple (LCM) of 86267 and 86276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86267 and 86276. First we will calculate the prime factors of 86267 and 86276.

Prime Factorization of 86267

Prime factors of 86267 are 281, 307. Prime factorization of 86267 in exponential form is:

86267 = 2811 × 3071

Prime Factorization of 86276

Prime factors of 86276 are 2, 21569. Prime factorization of 86276 in exponential form is:

86276 = 22 × 215691

Now multiplying the highest exponent prime factors to calculate the LCM of 86267 and 86276.

LCM(86267,86276) = 2811 × 3071 × 22 × 215691
LCM(86267,86276) = 7442771692