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What is the Least Common Multiple of 67943 and 67951?

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 67943 and 67951 is 4616794793.

LCM(67943,67951) = 4616794793

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Least Common Multiple of 67943 and 67951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67943 and 67951, than apply into the LCM equation.

GCF(67943,67951) = 1
LCM(67943,67951) = ( 67943 × 67951) / 1
LCM(67943,67951) = 4616794793 / 1
LCM(67943,67951) = 4616794793

Least Common Multiple (LCM) of 67943 and 67951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67943 and 67951. First we will calculate the prime factors of 67943 and 67951.

Prime Factorization of 67943

Prime factors of 67943 are 67943. Prime factorization of 67943 in exponential form is:

67943 = 679431

Prime Factorization of 67951

Prime factors of 67951 are 13, 5227. Prime factorization of 67951 in exponential form is:

67951 = 131 × 52271

Now multiplying the highest exponent prime factors to calculate the LCM of 67943 and 67951.

LCM(67943,67951) = 679431 × 131 × 52271
LCM(67943,67951) = 4616794793