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What is the Least Common Multiple of 46073 and 46088?

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 46073 and 46088 is 2123412424.

LCM(46073,46088) = 2123412424

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Least Common Multiple of 46073 and 46088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46073 and 46088, than apply into the LCM equation.

GCF(46073,46088) = 1
LCM(46073,46088) = ( 46073 × 46088) / 1
LCM(46073,46088) = 2123412424 / 1
LCM(46073,46088) = 2123412424

Least Common Multiple (LCM) of 46073 and 46088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46073 and 46088. First we will calculate the prime factors of 46073 and 46088.

Prime Factorization of 46073

Prime factors of 46073 are 46073. Prime factorization of 46073 in exponential form is:

46073 = 460731

Prime Factorization of 46088

Prime factors of 46088 are 2, 7, 823. Prime factorization of 46088 in exponential form is:

46088 = 23 × 71 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 46073 and 46088.

LCM(46073,46088) = 460731 × 23 × 71 × 8231
LCM(46073,46088) = 2123412424