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What is the Least Common Multiple of 97762 and 97781?

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 97762 and 97781 is 9559266122.

LCM(97762,97781) = 9559266122

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Least Common Multiple of 97762 and 97781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97762 and 97781, than apply into the LCM equation.

GCF(97762,97781) = 1
LCM(97762,97781) = ( 97762 × 97781) / 1
LCM(97762,97781) = 9559266122 / 1
LCM(97762,97781) = 9559266122

Least Common Multiple (LCM) of 97762 and 97781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97762 and 97781. First we will calculate the prime factors of 97762 and 97781.

Prime Factorization of 97762

Prime factors of 97762 are 2, 7, 6983. Prime factorization of 97762 in exponential form is:

97762 = 21 × 71 × 69831

Prime Factorization of 97781

Prime factors of 97781 are 277, 353. Prime factorization of 97781 in exponential form is:

97781 = 2771 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 97762 and 97781.

LCM(97762,97781) = 21 × 71 × 69831 × 2771 × 3531
LCM(97762,97781) = 9559266122