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What is the Least Common Multiple of 46466 and 46482?

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 46466 and 46482 is 1079916306.

LCM(46466,46482) = 1079916306

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Least Common Multiple of 46466 and 46482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46466 and 46482, than apply into the LCM equation.

GCF(46466,46482) = 2
LCM(46466,46482) = ( 46466 × 46482) / 2
LCM(46466,46482) = 2159832612 / 2
LCM(46466,46482) = 1079916306

Least Common Multiple (LCM) of 46466 and 46482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46466 and 46482. First we will calculate the prime factors of 46466 and 46482.

Prime Factorization of 46466

Prime factors of 46466 are 2, 7, 3319. Prime factorization of 46466 in exponential form is:

46466 = 21 × 71 × 33191

Prime Factorization of 46482

Prime factors of 46482 are 2, 3, 61, 127. Prime factorization of 46482 in exponential form is:

46482 = 21 × 31 × 611 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 46466 and 46482.

LCM(46466,46482) = 21 × 71 × 33191 × 31 × 611 × 1271
LCM(46466,46482) = 1079916306