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What is the Least Common Multiple of 77332 and 77340?

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 77340 is 1495214220.

LCM(77332,77340) = 1495214220

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Least Common Multiple of 77332 and 77340 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 77340, than apply into the LCM equation.

GCF(77332,77340) = 4
LCM(77332,77340) = ( 77332 × 77340) / 4
LCM(77332,77340) = 5980856880 / 4
LCM(77332,77340) = 1495214220

Least Common Multiple (LCM) of 77332 and 77340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77332 and 77340. First we will calculate the prime factors of 77332 and 77340.

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 77340

Prime factors of 77340 are 2, 3, 5, 1289. Prime factorization of 77340 in exponential form is:

77340 = 22 × 31 × 51 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 77332 and 77340.

LCM(77332,77340) = 22 × 193331 × 31 × 51 × 12891
LCM(77332,77340) = 1495214220