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What is the Least Common Multiple of 92714 and 92729?

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 92714 and 92729 is 8597276506.

LCM(92714,92729) = 8597276506

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Least Common Multiple of 92714 and 92729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92714 and 92729, than apply into the LCM equation.

GCF(92714,92729) = 1
LCM(92714,92729) = ( 92714 × 92729) / 1
LCM(92714,92729) = 8597276506 / 1
LCM(92714,92729) = 8597276506

Least Common Multiple (LCM) of 92714 and 92729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92714 and 92729. First we will calculate the prime factors of 92714 and 92729.

Prime Factorization of 92714

Prime factors of 92714 are 2, 151, 307. Prime factorization of 92714 in exponential form is:

92714 = 21 × 1511 × 3071

Prime Factorization of 92729

Prime factors of 92729 are 7, 13, 1019. Prime factorization of 92729 in exponential form is:

92729 = 71 × 131 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 92714 and 92729.

LCM(92714,92729) = 21 × 1511 × 3071 × 71 × 131 × 10191
LCM(92714,92729) = 8597276506