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What is the Least Common Multiple of 94441 and 94452?

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 94441 and 94452 is 8920141332.

LCM(94441,94452) = 8920141332

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Least Common Multiple of 94441 and 94452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94441 and 94452, than apply into the LCM equation.

GCF(94441,94452) = 1
LCM(94441,94452) = ( 94441 × 94452) / 1
LCM(94441,94452) = 8920141332 / 1
LCM(94441,94452) = 8920141332

Least Common Multiple (LCM) of 94441 and 94452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94441 and 94452. First we will calculate the prime factors of 94441 and 94452.

Prime Factorization of 94441

Prime factors of 94441 are 94441. Prime factorization of 94441 in exponential form is:

94441 = 944411

Prime Factorization of 94452

Prime factors of 94452 are 2, 3, 17, 463. Prime factorization of 94452 in exponential form is:

94452 = 22 × 31 × 171 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 94441 and 94452.

LCM(94441,94452) = 944411 × 22 × 31 × 171 × 4631
LCM(94441,94452) = 8920141332