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What is the Least Common Multiple of 95671 and 95681?

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 95671 and 95681 is 9153896951.

LCM(95671,95681) = 9153896951

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Least Common Multiple of 95671 and 95681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95671 and 95681, than apply into the LCM equation.

GCF(95671,95681) = 1
LCM(95671,95681) = ( 95671 × 95681) / 1
LCM(95671,95681) = 9153896951 / 1
LCM(95671,95681) = 9153896951

Least Common Multiple (LCM) of 95671 and 95681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95671 and 95681. First we will calculate the prime factors of 95671 and 95681.

Prime Factorization of 95671

Prime factors of 95671 are 29, 3299. Prime factorization of 95671 in exponential form is:

95671 = 291 × 32991

Prime Factorization of 95681

Prime factors of 95681 are 163, 587. Prime factorization of 95681 in exponential form is:

95681 = 1631 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 95671 and 95681.

LCM(95671,95681) = 291 × 32991 × 1631 × 5871
LCM(95671,95681) = 9153896951