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What is the Least Common Multiple of 77353 and 77360?

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 77353 and 77360 is 5984028080.

LCM(77353,77360) = 5984028080

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Least Common Multiple of 77353 and 77360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77353 and 77360, than apply into the LCM equation.

GCF(77353,77360) = 1
LCM(77353,77360) = ( 77353 × 77360) / 1
LCM(77353,77360) = 5984028080 / 1
LCM(77353,77360) = 5984028080

Least Common Multiple (LCM) of 77353 and 77360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77353 and 77360. First we will calculate the prime factors of 77353 and 77360.

Prime Factorization of 77353

Prime factors of 77353 are 103, 751. Prime factorization of 77353 in exponential form is:

77353 = 1031 × 7511

Prime Factorization of 77360

Prime factors of 77360 are 2, 5, 967. Prime factorization of 77360 in exponential form is:

77360 = 24 × 51 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 77353 and 77360.

LCM(77353,77360) = 1031 × 7511 × 24 × 51 × 9671
LCM(77353,77360) = 5984028080