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What is the Least Common Multiple of 95660 and 95671?

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 95660 and 95671 is 9151887860.

LCM(95660,95671) = 9151887860

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Least Common Multiple of 95660 and 95671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95660 and 95671, than apply into the LCM equation.

GCF(95660,95671) = 1
LCM(95660,95671) = ( 95660 × 95671) / 1
LCM(95660,95671) = 9151887860 / 1
LCM(95660,95671) = 9151887860

Least Common Multiple (LCM) of 95660 and 95671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95660 and 95671. First we will calculate the prime factors of 95660 and 95671.

Prime Factorization of 95660

Prime factors of 95660 are 2, 5, 4783. Prime factorization of 95660 in exponential form is:

95660 = 22 × 51 × 47831

Prime Factorization of 95671

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

95671 = 291 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 95660 and 95671.

LCM(95660,95671) = 22 × 51 × 47831 × 291 × 32991
LCM(95660,95671) = 9151887860