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Least Common Multiple of 46 and 53

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 46 and 53 is 2438.

LCM(46,53) = 2438

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Least Common Multiple of 46 and 53 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46 and 53, than apply into the LCM equation.

GCF(46,53) = 1
LCM(46,53) = ( 46 × 53) / 1
LCM(46,53) = 2438 / 1
LCM(46,53) = 2438

Least Common Multiple (LCM) of 46 and 53 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46 and 53. First we will calculate the prime factors of 46 and 53.

Prime Factorization of 46

Prime factors of 46 are 2, 23. Prime factorization of 46 in exponential form is:

46 = 21 × 231

Prime Factorization of 53

Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 531

Now multiplying the highest exponent prime factors to calculate the LCM of 46 and 53.

LCM(46,53) = 21 × 231 × 531
LCM(46,53) = 2438

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