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What is the Least Common Multiple of 94738 and 94752?

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 94738 and 94752 is 641186784.

LCM(94738,94752) = 641186784

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Least Common Multiple of 94738 and 94752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94738 and 94752, than apply into the LCM equation.

GCF(94738,94752) = 14
LCM(94738,94752) = ( 94738 × 94752) / 14
LCM(94738,94752) = 8976614976 / 14
LCM(94738,94752) = 641186784

Least Common Multiple (LCM) of 94738 and 94752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94738 and 94752. First we will calculate the prime factors of 94738 and 94752.

Prime Factorization of 94738

Prime factors of 94738 are 2, 7, 67, 101. Prime factorization of 94738 in exponential form is:

94738 = 21 × 71 × 671 × 1011

Prime Factorization of 94752

Prime factors of 94752 are 2, 3, 7, 47. Prime factorization of 94752 in exponential form is:

94752 = 25 × 32 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 94738 and 94752.

LCM(94738,94752) = 25 × 71 × 671 × 1011 × 32 × 471
LCM(94738,94752) = 641186784