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What is the Least Common Multiple of 80927 and 80941?

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 80941 is 935758901.

LCM(80927,80941) = 935758901

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Least Common Multiple of 80927 and 80941 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 80941, than apply into the LCM equation.

GCF(80927,80941) = 7
LCM(80927,80941) = ( 80927 × 80941) / 7
LCM(80927,80941) = 6550312307 / 7
LCM(80927,80941) = 935758901

Least Common Multiple (LCM) of 80927 and 80941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80927 and 80941. First we will calculate the prime factors of 80927 and 80941.

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 80941

Prime factors of 80941 are 7, 31, 373. Prime factorization of 80941 in exponential form is:

80941 = 71 × 311 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 80927 and 80941.

LCM(80927,80941) = 71 × 111 × 10511 × 311 × 3731
LCM(80927,80941) = 935758901