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What is the Least Common Multiple of 67764 and 67775?

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 67764 and 67775 is 4592705100.

LCM(67764,67775) = 4592705100

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Least Common Multiple of 67764 and 67775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67764 and 67775, than apply into the LCM equation.

GCF(67764,67775) = 1
LCM(67764,67775) = ( 67764 × 67775) / 1
LCM(67764,67775) = 4592705100 / 1
LCM(67764,67775) = 4592705100

Least Common Multiple (LCM) of 67764 and 67775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67764 and 67775. First we will calculate the prime factors of 67764 and 67775.

Prime Factorization of 67764

Prime factors of 67764 are 2, 3, 5647. Prime factorization of 67764 in exponential form is:

67764 = 22 × 31 × 56471

Prime Factorization of 67775

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

67775 = 52 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 67764 and 67775.

LCM(67764,67775) = 22 × 31 × 56471 × 52 × 27111
LCM(67764,67775) = 4592705100