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What is the Least Common Multiple of 77032 and 77040?

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 77032 and 77040 is 741818160.

LCM(77032,77040) = 741818160

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Least Common Multiple of 77032 and 77040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77032 and 77040, than apply into the LCM equation.

GCF(77032,77040) = 8
LCM(77032,77040) = ( 77032 × 77040) / 8
LCM(77032,77040) = 5934545280 / 8
LCM(77032,77040) = 741818160

Least Common Multiple (LCM) of 77032 and 77040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77032 and 77040. First we will calculate the prime factors of 77032 and 77040.

Prime Factorization of 77032

Prime factors of 77032 are 2, 9629. Prime factorization of 77032 in exponential form is:

77032 = 23 × 96291

Prime Factorization of 77040

Prime factors of 77040 are 2, 3, 5, 107. Prime factorization of 77040 in exponential form is:

77040 = 24 × 32 × 51 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 77032 and 77040.

LCM(77032,77040) = 24 × 96291 × 32 × 51 × 1071
LCM(77032,77040) = 741818160