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What is the Least Common Multiple of 77332 and 77345?

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 77332 and 77345 is 5981243540.

LCM(77332,77345) = 5981243540

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Least Common Multiple of 77332 and 77345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77332 and 77345, than apply into the LCM equation.

GCF(77332,77345) = 1
LCM(77332,77345) = ( 77332 × 77345) / 1
LCM(77332,77345) = 5981243540 / 1
LCM(77332,77345) = 5981243540

Least Common Multiple (LCM) of 77332 and 77345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77332 and 77345. First we will calculate the prime factors of 77332 and 77345.

Prime Factorization of 77332

Prime factors of 77332 are 2, 19333. Prime factorization of 77332 in exponential form is:

77332 = 22 × 193331

Prime Factorization of 77345

Prime factors of 77345 are 5, 31, 499. Prime factorization of 77345 in exponential form is:

77345 = 51 × 311 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 77332 and 77345.

LCM(77332,77345) = 22 × 193331 × 51 × 311 × 4991
LCM(77332,77345) = 5981243540