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What is the Least Common Multiple of 66764 and 66780?

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 66764 and 66780 is 1114624980.

LCM(66764,66780) = 1114624980

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Least Common Multiple of 66764 and 66780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66764 and 66780, than apply into the LCM equation.

GCF(66764,66780) = 4
LCM(66764,66780) = ( 66764 × 66780) / 4
LCM(66764,66780) = 4458499920 / 4
LCM(66764,66780) = 1114624980

Least Common Multiple (LCM) of 66764 and 66780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66764 and 66780. First we will calculate the prime factors of 66764 and 66780.

Prime Factorization of 66764

Prime factors of 66764 are 2, 16691. Prime factorization of 66764 in exponential form is:

66764 = 22 × 166911

Prime Factorization of 66780

Prime factors of 66780 are 2, 3, 5, 7, 53. Prime factorization of 66780 in exponential form is:

66780 = 22 × 32 × 51 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 66764 and 66780.

LCM(66764,66780) = 22 × 166911 × 32 × 51 × 71 × 531
LCM(66764,66780) = 1114624980