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What is the Least Common Multiple of 94314 and 94334?

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 94314 and 94334 is 4448508438.

LCM(94314,94334) = 4448508438

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Least Common Multiple of 94314 and 94334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94314 and 94334, than apply into the LCM equation.

GCF(94314,94334) = 2
LCM(94314,94334) = ( 94314 × 94334) / 2
LCM(94314,94334) = 8897016876 / 2
LCM(94314,94334) = 4448508438

Least Common Multiple (LCM) of 94314 and 94334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94314 and 94334. First we will calculate the prime factors of 94314 and 94334.

Prime Factorization of 94314

Prime factors of 94314 are 2, 3, 11, 1429. Prime factorization of 94314 in exponential form is:

94314 = 21 × 31 × 111 × 14291

Prime Factorization of 94334

Prime factors of 94334 are 2, 101, 467. Prime factorization of 94334 in exponential form is:

94334 = 21 × 1011 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 94314 and 94334.

LCM(94314,94334) = 21 × 31 × 111 × 14291 × 1011 × 4671
LCM(94314,94334) = 4448508438