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What is the Least Common Multiple of 78879 and 78883?

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 78879 and 78883 is 6222212157.

LCM(78879,78883) = 6222212157

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Least Common Multiple of 78879 and 78883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78879 and 78883, than apply into the LCM equation.

GCF(78879,78883) = 1
LCM(78879,78883) = ( 78879 × 78883) / 1
LCM(78879,78883) = 6222212157 / 1
LCM(78879,78883) = 6222212157

Least Common Multiple (LCM) of 78879 and 78883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78879 and 78883. First we will calculate the prime factors of 78879 and 78883.

Prime Factorization of 78879

Prime factors of 78879 are 3, 26293. Prime factorization of 78879 in exponential form is:

78879 = 31 × 262931

Prime Factorization of 78883

Prime factors of 78883 are 7, 59, 191. Prime factorization of 78883 in exponential form is:

78883 = 71 × 591 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 78879 and 78883.

LCM(78879,78883) = 31 × 262931 × 71 × 591 × 1911
LCM(78879,78883) = 6222212157