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What is the Least Common Multiple of 80927 and 80936?

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 80927 and 80936 is 6549907672.

LCM(80927,80936) = 6549907672

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Least Common Multiple of 80927 and 80936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80927 and 80936, than apply into the LCM equation.

GCF(80927,80936) = 1
LCM(80927,80936) = ( 80927 × 80936) / 1
LCM(80927,80936) = 6549907672 / 1
LCM(80927,80936) = 6549907672

Least Common Multiple (LCM) of 80927 and 80936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80927 and 80936. First we will calculate the prime factors of 80927 and 80936.

Prime Factorization of 80927

Prime factors of 80927 are 7, 11, 1051. Prime factorization of 80927 in exponential form is:

80927 = 71 × 111 × 10511

Prime Factorization of 80936

Prime factors of 80936 are 2, 67, 151. Prime factorization of 80936 in exponential form is:

80936 = 23 × 671 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 80927 and 80936.

LCM(80927,80936) = 71 × 111 × 10511 × 23 × 671 × 1511
LCM(80927,80936) = 6549907672