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What is the Least Common Multiple of 93054 and 93062?

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 93054 and 93062 is 4329895674.

LCM(93054,93062) = 4329895674

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Least Common Multiple of 93054 and 93062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93054 and 93062, than apply into the LCM equation.

GCF(93054,93062) = 2
LCM(93054,93062) = ( 93054 × 93062) / 2
LCM(93054,93062) = 8659791348 / 2
LCM(93054,93062) = 4329895674

Least Common Multiple (LCM) of 93054 and 93062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93054 and 93062. First we will calculate the prime factors of 93054 and 93062.

Prime Factorization of 93054

Prime factors of 93054 are 2, 3, 13, 1193. Prime factorization of 93054 in exponential form is:

93054 = 21 × 31 × 131 × 11931

Prime Factorization of 93062

Prime factors of 93062 are 2, 19, 31, 79. Prime factorization of 93062 in exponential form is:

93062 = 21 × 191 × 311 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 93054 and 93062.

LCM(93054,93062) = 21 × 31 × 131 × 11931 × 191 × 311 × 791
LCM(93054,93062) = 4329895674