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What is the Least Common Multiple of 95627 and 95643?

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 95627 and 95643 is 9146053161.

LCM(95627,95643) = 9146053161

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Least Common Multiple of 95627 and 95643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95627 and 95643, than apply into the LCM equation.

GCF(95627,95643) = 1
LCM(95627,95643) = ( 95627 × 95643) / 1
LCM(95627,95643) = 9146053161 / 1
LCM(95627,95643) = 9146053161

Least Common Multiple (LCM) of 95627 and 95643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95627 and 95643. First we will calculate the prime factors of 95627 and 95643.

Prime Factorization of 95627

Prime factors of 95627 are 7, 19, 719. Prime factorization of 95627 in exponential form is:

95627 = 71 × 191 × 7191

Prime Factorization of 95643

Prime factors of 95643 are 3, 10627. Prime factorization of 95643 in exponential form is:

95643 = 32 × 106271

Now multiplying the highest exponent prime factors to calculate the LCM of 95627 and 95643.

LCM(95627,95643) = 71 × 191 × 7191 × 32 × 106271
LCM(95627,95643) = 9146053161