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What is the Least Common Multiple of 93939 and 93953?

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 93939 and 93953 is 8825850867.

LCM(93939,93953) = 8825850867

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Least Common Multiple of 93939 and 93953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93939 and 93953, than apply into the LCM equation.

GCF(93939,93953) = 1
LCM(93939,93953) = ( 93939 × 93953) / 1
LCM(93939,93953) = 8825850867 / 1
LCM(93939,93953) = 8825850867

Least Common Multiple (LCM) of 93939 and 93953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93939 and 93953. First we will calculate the prime factors of 93939 and 93953.

Prime Factorization of 93939

Prime factors of 93939 are 3, 173, 181. Prime factorization of 93939 in exponential form is:

93939 = 31 × 1731 × 1811

Prime Factorization of 93953

Prime factors of 93953 are 47, 1999. Prime factorization of 93953 in exponential form is:

93953 = 471 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 93939 and 93953.

LCM(93939,93953) = 31 × 1731 × 1811 × 471 × 19991
LCM(93939,93953) = 8825850867