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What is the Least Common Multiple of 95660 and 95667?

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 95667 is 9151505220.

LCM(95660,95667) = 9151505220

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Least Common Multiple of 95660 and 95667 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 95667, than apply into the LCM equation.

GCF(95660,95667) = 1
LCM(95660,95667) = ( 95660 × 95667) / 1
LCM(95660,95667) = 9151505220 / 1
LCM(95660,95667) = 9151505220

Least Common Multiple (LCM) of 95660 and 95667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95660 and 95667. First we will calculate the prime factors of 95660 and 95667.

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 95667

Prime factors of 95667 are 3, 11, 13, 223. Prime factorization of 95667 in exponential form is:

95667 = 31 × 111 × 131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 95660 and 95667.

LCM(95660,95667) = 22 × 51 × 47831 × 31 × 111 × 131 × 2231
LCM(95660,95667) = 9151505220