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What is the Least Common Multiple of 68787 and 68802?

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 68787 and 68802 is 1577561058.

LCM(68787,68802) = 1577561058

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Least Common Multiple of 68787 and 68802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68787 and 68802, than apply into the LCM equation.

GCF(68787,68802) = 3
LCM(68787,68802) = ( 68787 × 68802) / 3
LCM(68787,68802) = 4732683174 / 3
LCM(68787,68802) = 1577561058

Least Common Multiple (LCM) of 68787 and 68802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68787 and 68802. First we will calculate the prime factors of 68787 and 68802.

Prime Factorization of 68787

Prime factors of 68787 are 3, 7643. Prime factorization of 68787 in exponential form is:

68787 = 32 × 76431

Prime Factorization of 68802

Prime factors of 68802 are 2, 3, 11467. Prime factorization of 68802 in exponential form is:

68802 = 21 × 31 × 114671

Now multiplying the highest exponent prime factors to calculate the LCM of 68787 and 68802.

LCM(68787,68802) = 32 × 76431 × 21 × 114671
LCM(68787,68802) = 1577561058