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What is the Least Common Multiple of 46337 and 46356?

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 46337 and 46356 is 2147997972.

LCM(46337,46356) = 2147997972

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Least Common Multiple of 46337 and 46356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46337 and 46356, than apply into the LCM equation.

GCF(46337,46356) = 1
LCM(46337,46356) = ( 46337 × 46356) / 1
LCM(46337,46356) = 2147997972 / 1
LCM(46337,46356) = 2147997972

Least Common Multiple (LCM) of 46337 and 46356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46337 and 46356. First we will calculate the prime factors of 46337 and 46356.

Prime Factorization of 46337

Prime factors of 46337 are 46337. Prime factorization of 46337 in exponential form is:

46337 = 463371

Prime Factorization of 46356

Prime factors of 46356 are 2, 3, 3863. Prime factorization of 46356 in exponential form is:

46356 = 22 × 31 × 38631

Now multiplying the highest exponent prime factors to calculate the LCM of 46337 and 46356.

LCM(46337,46356) = 463371 × 22 × 31 × 38631
LCM(46337,46356) = 2147997972