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What is the Least Common Multiple of 66744 and 66763?

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 66744 and 66763 is 4456029672.

LCM(66744,66763) = 4456029672

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Least Common Multiple of 66744 and 66763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66744 and 66763, than apply into the LCM equation.

GCF(66744,66763) = 1
LCM(66744,66763) = ( 66744 × 66763) / 1
LCM(66744,66763) = 4456029672 / 1
LCM(66744,66763) = 4456029672

Least Common Multiple (LCM) of 66744 and 66763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66744 and 66763. First we will calculate the prime factors of 66744 and 66763.

Prime Factorization of 66744

Prime factors of 66744 are 2, 3, 103. Prime factorization of 66744 in exponential form is:

66744 = 23 × 34 × 1031

Prime Factorization of 66763

Prime factors of 66763 are 66763. Prime factorization of 66763 in exponential form is:

66763 = 667631

Now multiplying the highest exponent prime factors to calculate the LCM of 66744 and 66763.

LCM(66744,66763) = 23 × 34 × 1031 × 667631
LCM(66744,66763) = 4456029672