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What is the Least Common Multiple of 47797 and 47801?

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 47797 and 47801 is 2284744397.

LCM(47797,47801) = 2284744397

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Least Common Multiple of 47797 and 47801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47797 and 47801, than apply into the LCM equation.

GCF(47797,47801) = 1
LCM(47797,47801) = ( 47797 × 47801) / 1
LCM(47797,47801) = 2284744397 / 1
LCM(47797,47801) = 2284744397

Least Common Multiple (LCM) of 47797 and 47801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47797 and 47801. First we will calculate the prime factors of 47797 and 47801.

Prime Factorization of 47797

Prime factors of 47797 are 47797. Prime factorization of 47797 in exponential form is:

47797 = 477971

Prime Factorization of 47801

Prime factors of 47801 are 13, 3677. Prime factorization of 47801 in exponential form is:

47801 = 131 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 47797 and 47801.

LCM(47797,47801) = 477971 × 131 × 36771
LCM(47797,47801) = 2284744397