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What is the Least Common Multiple of 92429 and 92437?

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 92429 and 92437 is 8543859473.

LCM(92429,92437) = 8543859473

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Least Common Multiple of 92429 and 92437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92429 and 92437, than apply into the LCM equation.

GCF(92429,92437) = 1
LCM(92429,92437) = ( 92429 × 92437) / 1
LCM(92429,92437) = 8543859473 / 1
LCM(92429,92437) = 8543859473

Least Common Multiple (LCM) of 92429 and 92437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92429 and 92437. First we will calculate the prime factors of 92429 and 92437.

Prime Factorization of 92429

Prime factors of 92429 are 17, 5437. Prime factorization of 92429 in exponential form is:

92429 = 171 × 54371

Prime Factorization of 92437

Prime factors of 92437 are 23, 4019. Prime factorization of 92437 in exponential form is:

92437 = 231 × 40191

Now multiplying the highest exponent prime factors to calculate the LCM of 92429 and 92437.

LCM(92429,92437) = 171 × 54371 × 231 × 40191
LCM(92429,92437) = 8543859473