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What is the Least Common Multiple of 94414 and 94428?

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 94414 and 94428 is 4457662596.

LCM(94414,94428) = 4457662596

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Least Common Multiple of 94414 and 94428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94414 and 94428, than apply into the LCM equation.

GCF(94414,94428) = 2
LCM(94414,94428) = ( 94414 × 94428) / 2
LCM(94414,94428) = 8915325192 / 2
LCM(94414,94428) = 4457662596

Least Common Multiple (LCM) of 94414 and 94428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94414 and 94428. First we will calculate the prime factors of 94414 and 94428.

Prime Factorization of 94414

Prime factors of 94414 are 2, 47207. Prime factorization of 94414 in exponential form is:

94414 = 21 × 472071

Prime Factorization of 94428

Prime factors of 94428 are 2, 3, 43, 61. Prime factorization of 94428 in exponential form is:

94428 = 22 × 32 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 94414 and 94428.

LCM(94414,94428) = 22 × 472071 × 32 × 431 × 611
LCM(94414,94428) = 4457662596