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What is the Least Common Multiple of 66768 and 66777?

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 66768 and 66777 is 1486188912.

LCM(66768,66777) = 1486188912

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Least Common Multiple of 66768 and 66777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66768 and 66777, than apply into the LCM equation.

GCF(66768,66777) = 3
LCM(66768,66777) = ( 66768 × 66777) / 3
LCM(66768,66777) = 4458566736 / 3
LCM(66768,66777) = 1486188912

Least Common Multiple (LCM) of 66768 and 66777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66768 and 66777. First we will calculate the prime factors of 66768 and 66777.

Prime Factorization of 66768

Prime factors of 66768 are 2, 3, 13, 107. Prime factorization of 66768 in exponential form is:

66768 = 24 × 31 × 131 × 1071

Prime Factorization of 66777

Prime factors of 66777 are 3, 22259. Prime factorization of 66777 in exponential form is:

66777 = 31 × 222591

Now multiplying the highest exponent prime factors to calculate the LCM of 66768 and 66777.

LCM(66768,66777) = 24 × 31 × 131 × 1071 × 222591
LCM(66768,66777) = 1486188912