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What is the Least Common Multiple of 78347 and 78367?

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 78347 and 78367 is 6139819349.

LCM(78347,78367) = 6139819349

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Least Common Multiple of 78347 and 78367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78347 and 78367, than apply into the LCM equation.

GCF(78347,78367) = 1
LCM(78347,78367) = ( 78347 × 78367) / 1
LCM(78347,78367) = 6139819349 / 1
LCM(78347,78367) = 6139819349

Least Common Multiple (LCM) of 78347 and 78367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78347 and 78367. First we will calculate the prime factors of 78347 and 78367.

Prime Factorization of 78347

Prime factors of 78347 are 78347. Prime factorization of 78347 in exponential form is:

78347 = 783471

Prime Factorization of 78367

Prime factors of 78367 are 78367. Prime factorization of 78367 in exponential form is:

78367 = 783671

Now multiplying the highest exponent prime factors to calculate the LCM of 78347 and 78367.

LCM(78347,78367) = 783471 × 783671
LCM(78347,78367) = 6139819349