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What is the Least Common Multiple of 46062 and 46068?

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 46062 and 46068 is 353664036.

LCM(46062,46068) = 353664036

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Least Common Multiple of 46062 and 46068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46062 and 46068, than apply into the LCM equation.

GCF(46062,46068) = 6
LCM(46062,46068) = ( 46062 × 46068) / 6
LCM(46062,46068) = 2121984216 / 6
LCM(46062,46068) = 353664036

Least Common Multiple (LCM) of 46062 and 46068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46062 and 46068. First we will calculate the prime factors of 46062 and 46068.

Prime Factorization of 46062

Prime factors of 46062 are 2, 3, 853. Prime factorization of 46062 in exponential form is:

46062 = 21 × 33 × 8531

Prime Factorization of 46068

Prime factors of 46068 are 2, 3, 11, 349. Prime factorization of 46068 in exponential form is:

46068 = 22 × 31 × 111 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 46062 and 46068.

LCM(46062,46068) = 22 × 33 × 8531 × 111 × 3491
LCM(46062,46068) = 353664036