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What is the Least Common Multiple of 66483 and 66492?

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 66483 and 66492 is 491176404.

LCM(66483,66492) = 491176404

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Least Common Multiple of 66483 and 66492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66483 and 66492, than apply into the LCM equation.

GCF(66483,66492) = 9
LCM(66483,66492) = ( 66483 × 66492) / 9
LCM(66483,66492) = 4420587636 / 9
LCM(66483,66492) = 491176404

Least Common Multiple (LCM) of 66483 and 66492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66483 and 66492. First we will calculate the prime factors of 66483 and 66492.

Prime Factorization of 66483

Prime factors of 66483 are 3, 83, 89. Prime factorization of 66483 in exponential form is:

66483 = 32 × 831 × 891

Prime Factorization of 66492

Prime factors of 66492 are 2, 3, 1847. Prime factorization of 66492 in exponential form is:

66492 = 22 × 32 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 66483 and 66492.

LCM(66483,66492) = 32 × 831 × 891 × 22 × 18471
LCM(66483,66492) = 491176404