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What is the Least Common Multiple of 68778 and 68787?

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 68778 and 68787 is 525670254.

LCM(68778,68787) = 525670254

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Least Common Multiple of 68778 and 68787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68778 and 68787, than apply into the LCM equation.

GCF(68778,68787) = 9
LCM(68778,68787) = ( 68778 × 68787) / 9
LCM(68778,68787) = 4731032286 / 9
LCM(68778,68787) = 525670254

Least Common Multiple (LCM) of 68778 and 68787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68778 and 68787. First we will calculate the prime factors of 68778 and 68787.

Prime Factorization of 68778

Prime factors of 68778 are 2, 3, 3821. Prime factorization of 68778 in exponential form is:

68778 = 21 × 32 × 38211

Prime Factorization of 68787

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

68787 = 32 × 76431

Now multiplying the highest exponent prime factors to calculate the LCM of 68778 and 68787.

LCM(68778,68787) = 21 × 32 × 38211 × 76431
LCM(68778,68787) = 525670254