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What is the Least Common Multiple of 55760 and 55772?

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 55760 and 55772 is 777461680.

LCM(55760,55772) = 777461680

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Least Common Multiple of 55760 and 55772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55760 and 55772, than apply into the LCM equation.

GCF(55760,55772) = 4
LCM(55760,55772) = ( 55760 × 55772) / 4
LCM(55760,55772) = 3109846720 / 4
LCM(55760,55772) = 777461680

Least Common Multiple (LCM) of 55760 and 55772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55760 and 55772. First we will calculate the prime factors of 55760 and 55772.

Prime Factorization of 55760

Prime factors of 55760 are 2, 5, 17, 41. Prime factorization of 55760 in exponential form is:

55760 = 24 × 51 × 171 × 411

Prime Factorization of 55772

Prime factors of 55772 are 2, 73, 191. Prime factorization of 55772 in exponential form is:

55772 = 22 × 731 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 55760 and 55772.

LCM(55760,55772) = 24 × 51 × 171 × 411 × 731 × 1911
LCM(55760,55772) = 777461680