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What is the Least Common Multiple of 78797 and 78801?

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 78797 and 78801 is 6209282397.

LCM(78797,78801) = 6209282397

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Least Common Multiple of 78797 and 78801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78797 and 78801, than apply into the LCM equation.

GCF(78797,78801) = 1
LCM(78797,78801) = ( 78797 × 78801) / 1
LCM(78797,78801) = 6209282397 / 1
LCM(78797,78801) = 6209282397

Least Common Multiple (LCM) of 78797 and 78801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78797 and 78801. First we will calculate the prime factors of 78797 and 78801.

Prime Factorization of 78797

Prime factors of 78797 are 78797. Prime factorization of 78797 in exponential form is:

78797 = 787971

Prime Factorization of 78801

Prime factors of 78801 are 3, 26267. Prime factorization of 78801 in exponential form is:

78801 = 31 × 262671

Now multiplying the highest exponent prime factors to calculate the LCM of 78797 and 78801.

LCM(78797,78801) = 787971 × 31 × 262671
LCM(78797,78801) = 6209282397