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What is the Least Common Multiple of 66745 and 66752?

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 66745 and 66752 is 636480320.

LCM(66745,66752) = 636480320

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Least Common Multiple of 66745 and 66752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66745 and 66752, than apply into the LCM equation.

GCF(66745,66752) = 7
LCM(66745,66752) = ( 66745 × 66752) / 7
LCM(66745,66752) = 4455362240 / 7
LCM(66745,66752) = 636480320

Least Common Multiple (LCM) of 66745 and 66752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66745 and 66752. First we will calculate the prime factors of 66745 and 66752.

Prime Factorization of 66745

Prime factors of 66745 are 5, 7, 1907. Prime factorization of 66745 in exponential form is:

66745 = 51 × 71 × 19071

Prime Factorization of 66752

Prime factors of 66752 are 2, 7, 149. Prime factorization of 66752 in exponential form is:

66752 = 26 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 66745 and 66752.

LCM(66745,66752) = 51 × 71 × 19071 × 26 × 1491
LCM(66745,66752) = 636480320