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What is the Least Common Multiple of 95613 and 95622?

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 95613 and 95622 is 3047568762.

LCM(95613,95622) = 3047568762

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Least Common Multiple of 95613 and 95622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95613 and 95622, than apply into the LCM equation.

GCF(95613,95622) = 3
LCM(95613,95622) = ( 95613 × 95622) / 3
LCM(95613,95622) = 9142706286 / 3
LCM(95613,95622) = 3047568762

Least Common Multiple (LCM) of 95613 and 95622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95613 and 95622. First we will calculate the prime factors of 95613 and 95622.

Prime Factorization of 95613

Prime factors of 95613 are 3, 7, 29, 157. Prime factorization of 95613 in exponential form is:

95613 = 31 × 71 × 291 × 1571

Prime Factorization of 95622

Prime factors of 95622 are 2, 3, 15937. Prime factorization of 95622 in exponential form is:

95622 = 21 × 31 × 159371

Now multiplying the highest exponent prime factors to calculate the LCM of 95613 and 95622.

LCM(95613,95622) = 31 × 71 × 291 × 1571 × 21 × 159371
LCM(95613,95622) = 3047568762