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What is the Least Common Multiple of 66752 and 66764?

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 66752 and 66764 is 1114157632.

LCM(66752,66764) = 1114157632

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Least Common Multiple of 66752 and 66764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66752 and 66764, than apply into the LCM equation.

GCF(66752,66764) = 4
LCM(66752,66764) = ( 66752 × 66764) / 4
LCM(66752,66764) = 4456630528 / 4
LCM(66752,66764) = 1114157632

Least Common Multiple (LCM) of 66752 and 66764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66752 and 66764. First we will calculate the prime factors of 66752 and 66764.

Prime Factorization of 66752

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

66752 = 26 × 71 × 1491

Prime Factorization of 66764

Prime factors of 66764 are 2, 16691. Prime factorization of 66764 in exponential form is:

66764 = 22 × 166911

Now multiplying the highest exponent prime factors to calculate the LCM of 66752 and 66764.

LCM(66752,66764) = 26 × 71 × 1491 × 166911
LCM(66752,66764) = 1114157632