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What is the Least Common Multiple of 92447 and 92462?

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 92447 and 92462 is 8547834514.

LCM(92447,92462) = 8547834514

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Least Common Multiple of 92447 and 92462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92447 and 92462, than apply into the LCM equation.

GCF(92447,92462) = 1
LCM(92447,92462) = ( 92447 × 92462) / 1
LCM(92447,92462) = 8547834514 / 1
LCM(92447,92462) = 8547834514

Least Common Multiple (LCM) of 92447 and 92462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92447 and 92462. First we will calculate the prime factors of 92447 and 92462.

Prime Factorization of 92447

Prime factors of 92447 are 193, 479. Prime factorization of 92447 in exponential form is:

92447 = 1931 × 4791

Prime Factorization of 92462

Prime factors of 92462 are 2, 83, 557. Prime factorization of 92462 in exponential form is:

92462 = 21 × 831 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 92447 and 92462.

LCM(92447,92462) = 1931 × 4791 × 21 × 831 × 5571
LCM(92447,92462) = 8547834514