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What is the Least Common Multiple of 46419 and 46438?

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 46419 and 46438 is 2155605522.

LCM(46419,46438) = 2155605522

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Least Common Multiple of 46419 and 46438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46419 and 46438, than apply into the LCM equation.

GCF(46419,46438) = 1
LCM(46419,46438) = ( 46419 × 46438) / 1
LCM(46419,46438) = 2155605522 / 1
LCM(46419,46438) = 2155605522

Least Common Multiple (LCM) of 46419 and 46438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46419 and 46438. First we will calculate the prime factors of 46419 and 46438.

Prime Factorization of 46419

Prime factors of 46419 are 3, 15473. Prime factorization of 46419 in exponential form is:

46419 = 31 × 154731

Prime Factorization of 46438

Prime factors of 46438 are 2, 7, 31, 107. Prime factorization of 46438 in exponential form is:

46438 = 21 × 71 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 46419 and 46438.

LCM(46419,46438) = 31 × 154731 × 21 × 71 × 311 × 1071
LCM(46419,46438) = 2155605522