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What is the Least Common Multiple of 77325 and 77344?

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 77325 and 77344 is 5980624800.

LCM(77325,77344) = 5980624800

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Least Common Multiple of 77325 and 77344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77325 and 77344, than apply into the LCM equation.

GCF(77325,77344) = 1
LCM(77325,77344) = ( 77325 × 77344) / 1
LCM(77325,77344) = 5980624800 / 1
LCM(77325,77344) = 5980624800

Least Common Multiple (LCM) of 77325 and 77344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77325 and 77344. First we will calculate the prime factors of 77325 and 77344.

Prime Factorization of 77325

Prime factors of 77325 are 3, 5, 1031. Prime factorization of 77325 in exponential form is:

77325 = 31 × 52 × 10311

Prime Factorization of 77344

Prime factors of 77344 are 2, 2417. Prime factorization of 77344 in exponential form is:

77344 = 25 × 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 77325 and 77344.

LCM(77325,77344) = 31 × 52 × 10311 × 25 × 24171
LCM(77325,77344) = 5980624800