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What is the Least Common Multiple of 93452 and 93457?

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 93452 and 93457 is 8733743564.

LCM(93452,93457) = 8733743564

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Least Common Multiple of 93452 and 93457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93452 and 93457, than apply into the LCM equation.

GCF(93452,93457) = 1
LCM(93452,93457) = ( 93452 × 93457) / 1
LCM(93452,93457) = 8733743564 / 1
LCM(93452,93457) = 8733743564

Least Common Multiple (LCM) of 93452 and 93457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93452 and 93457. First we will calculate the prime factors of 93452 and 93457.

Prime Factorization of 93452

Prime factors of 93452 are 2, 61, 383. Prime factorization of 93452 in exponential form is:

93452 = 22 × 611 × 3831

Prime Factorization of 93457

Prime factors of 93457 are 7, 13, 79. Prime factorization of 93457 in exponential form is:

93457 = 71 × 132 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 93452 and 93457.

LCM(93452,93457) = 22 × 611 × 3831 × 71 × 132 × 791
LCM(93452,93457) = 8733743564