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What is the Least Common Multiple of 92673 and 92693?

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 92673 and 92693 is 8590138389.

LCM(92673,92693) = 8590138389

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Least Common Multiple of 92673 and 92693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92673 and 92693, than apply into the LCM equation.

GCF(92673,92693) = 1
LCM(92673,92693) = ( 92673 × 92693) / 1
LCM(92673,92693) = 8590138389 / 1
LCM(92673,92693) = 8590138389

Least Common Multiple (LCM) of 92673 and 92693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92673 and 92693. First we will calculate the prime factors of 92673 and 92693.

Prime Factorization of 92673

Prime factors of 92673 are 3, 7, 1471. Prime factorization of 92673 in exponential form is:

92673 = 32 × 71 × 14711

Prime Factorization of 92693

Prime factors of 92693 are 92693. Prime factorization of 92693 in exponential form is:

92693 = 926931

Now multiplying the highest exponent prime factors to calculate the LCM of 92673 and 92693.

LCM(92673,92693) = 32 × 71 × 14711 × 926931
LCM(92673,92693) = 8590138389