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What is the Least Common Multiple of 68752 and 68764?

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 68752 and 68764 is 1181915632.

LCM(68752,68764) = 1181915632

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Least Common Multiple of 68752 and 68764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68752 and 68764, than apply into the LCM equation.

GCF(68752,68764) = 4
LCM(68752,68764) = ( 68752 × 68764) / 4
LCM(68752,68764) = 4727662528 / 4
LCM(68752,68764) = 1181915632

Least Common Multiple (LCM) of 68752 and 68764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68752 and 68764. First we will calculate the prime factors of 68752 and 68764.

Prime Factorization of 68752

Prime factors of 68752 are 2, 4297. Prime factorization of 68752 in exponential form is:

68752 = 24 × 42971

Prime Factorization of 68764

Prime factors of 68764 are 2, 17191. Prime factorization of 68764 in exponential form is:

68764 = 22 × 171911

Now multiplying the highest exponent prime factors to calculate the LCM of 68752 and 68764.

LCM(68752,68764) = 24 × 42971 × 171911
LCM(68752,68764) = 1181915632