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What is the Least Common Multiple of 55741 and 55760?

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 55741 and 55760 is 3108118160.

LCM(55741,55760) = 3108118160

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Least Common Multiple of 55741 and 55760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55741 and 55760, than apply into the LCM equation.

GCF(55741,55760) = 1
LCM(55741,55760) = ( 55741 × 55760) / 1
LCM(55741,55760) = 3108118160 / 1
LCM(55741,55760) = 3108118160

Least Common Multiple (LCM) of 55741 and 55760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55741 and 55760. First we will calculate the prime factors of 55741 and 55760.

Prime Factorization of 55741

Prime factors of 55741 are 7, 7963. Prime factorization of 55741 in exponential form is:

55741 = 71 × 79631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 55741 and 55760.

LCM(55741,55760) = 71 × 79631 × 24 × 51 × 171 × 411
LCM(55741,55760) = 3108118160