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What is the Least Common Multiple of 92943 and 92963?

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 92943 and 92963 is 8640260109.

LCM(92943,92963) = 8640260109

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Least Common Multiple of 92943 and 92963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92943 and 92963, than apply into the LCM equation.

GCF(92943,92963) = 1
LCM(92943,92963) = ( 92943 × 92963) / 1
LCM(92943,92963) = 8640260109 / 1
LCM(92943,92963) = 8640260109

Least Common Multiple (LCM) of 92943 and 92963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92943 and 92963. First we will calculate the prime factors of 92943 and 92963.

Prime Factorization of 92943

Prime factors of 92943 are 3, 23, 449. Prime factorization of 92943 in exponential form is:

92943 = 32 × 231 × 4491

Prime Factorization of 92963

Prime factors of 92963 are 13, 7151. Prime factorization of 92963 in exponential form is:

92963 = 131 × 71511

Now multiplying the highest exponent prime factors to calculate the LCM of 92943 and 92963.

LCM(92943,92963) = 32 × 231 × 4491 × 131 × 71511
LCM(92943,92963) = 8640260109