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What is the Least Common Multiple of 80953 and 80959?

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 80953 and 80959 is 6553873927.

LCM(80953,80959) = 6553873927

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Least Common Multiple of 80953 and 80959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80953 and 80959, than apply into the LCM equation.

GCF(80953,80959) = 1
LCM(80953,80959) = ( 80953 × 80959) / 1
LCM(80953,80959) = 6553873927 / 1
LCM(80953,80959) = 6553873927

Least Common Multiple (LCM) of 80953 and 80959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80953 and 80959. First we will calculate the prime factors of 80953 and 80959.

Prime Factorization of 80953

Prime factors of 80953 are 80953. Prime factorization of 80953 in exponential form is:

80953 = 809531

Prime Factorization of 80959

Prime factors of 80959 are 19, 4261. Prime factorization of 80959 in exponential form is:

80959 = 191 × 42611

Now multiplying the highest exponent prime factors to calculate the LCM of 80953 and 80959.

LCM(80953,80959) = 809531 × 191 × 42611
LCM(80953,80959) = 6553873927