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What is the Least Common Multiple of 95669 and 95677?

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 95669 and 95677 is 9153322913.

LCM(95669,95677) = 9153322913

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Least Common Multiple of 95669 and 95677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95669 and 95677, than apply into the LCM equation.

GCF(95669,95677) = 1
LCM(95669,95677) = ( 95669 × 95677) / 1
LCM(95669,95677) = 9153322913 / 1
LCM(95669,95677) = 9153322913

Least Common Multiple (LCM) of 95669 and 95677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95669 and 95677. First we will calculate the prime factors of 95669 and 95677.

Prime Factorization of 95669

Prime factors of 95669 are 7, 79, 173. Prime factorization of 95669 in exponential form is:

95669 = 71 × 791 × 1731

Prime Factorization of 95677

Prime factors of 95677 are 241, 397. Prime factorization of 95677 in exponential form is:

95677 = 2411 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 95669 and 95677.

LCM(95669,95677) = 71 × 791 × 1731 × 2411 × 3971
LCM(95669,95677) = 9153322913