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What is the Least Common Multiple of 67775 and 67788?

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 67775 and 67788 is 4594331700.

LCM(67775,67788) = 4594331700

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Least Common Multiple of 67775 and 67788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67775 and 67788, than apply into the LCM equation.

GCF(67775,67788) = 1
LCM(67775,67788) = ( 67775 × 67788) / 1
LCM(67775,67788) = 4594331700 / 1
LCM(67775,67788) = 4594331700

Least Common Multiple (LCM) of 67775 and 67788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67775 and 67788. First we will calculate the prime factors of 67775 and 67788.

Prime Factorization of 67775

Prime factors of 67775 are 5, 2711. Prime factorization of 67775 in exponential form is:

67775 = 52 × 27111

Prime Factorization of 67788

Prime factors of 67788 are 2, 3, 7, 269. Prime factorization of 67788 in exponential form is:

67788 = 22 × 32 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 67775 and 67788.

LCM(67775,67788) = 52 × 27111 × 22 × 32 × 71 × 2691
LCM(67775,67788) = 4594331700