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What is the Least Common Multiple of 94233 and 94251?

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 94233 and 94251 is 2960518161.

LCM(94233,94251) = 2960518161

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Least Common Multiple of 94233 and 94251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94233 and 94251, than apply into the LCM equation.

GCF(94233,94251) = 3
LCM(94233,94251) = ( 94233 × 94251) / 3
LCM(94233,94251) = 8881554483 / 3
LCM(94233,94251) = 2960518161

Least Common Multiple (LCM) of 94233 and 94251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94233 and 94251. First we will calculate the prime factors of 94233 and 94251.

Prime Factorization of 94233

Prime factors of 94233 are 3, 101, 311. Prime factorization of 94233 in exponential form is:

94233 = 31 × 1011 × 3111

Prime Factorization of 94251

Prime factors of 94251 are 3, 89, 353. Prime factorization of 94251 in exponential form is:

94251 = 31 × 891 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 94233 and 94251.

LCM(94233,94251) = 31 × 1011 × 3111 × 891 × 3531
LCM(94233,94251) = 2960518161