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What is the Least Common Multiple of 68757 and 68772?

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 68757 and 68772 is 1576185468.

LCM(68757,68772) = 1576185468

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Least Common Multiple of 68757 and 68772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68757 and 68772, than apply into the LCM equation.

GCF(68757,68772) = 3
LCM(68757,68772) = ( 68757 × 68772) / 3
LCM(68757,68772) = 4728556404 / 3
LCM(68757,68772) = 1576185468

Least Common Multiple (LCM) of 68757 and 68772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68757 and 68772. First we will calculate the prime factors of 68757 and 68772.

Prime Factorization of 68757

Prime factors of 68757 are 3, 13, 41, 43. Prime factorization of 68757 in exponential form is:

68757 = 31 × 131 × 411 × 431

Prime Factorization of 68772

Prime factors of 68772 are 2, 3, 11, 521. Prime factorization of 68772 in exponential form is:

68772 = 22 × 31 × 111 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 68757 and 68772.

LCM(68757,68772) = 31 × 131 × 411 × 431 × 22 × 111 × 5211
LCM(68757,68772) = 1576185468