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What is the Least Common Multiple of 46510 and 46520?

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 46510 and 46520 is 216364520.

LCM(46510,46520) = 216364520

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Least Common Multiple of 46510 and 46520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46510 and 46520, than apply into the LCM equation.

GCF(46510,46520) = 10
LCM(46510,46520) = ( 46510 × 46520) / 10
LCM(46510,46520) = 2163645200 / 10
LCM(46510,46520) = 216364520

Least Common Multiple (LCM) of 46510 and 46520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46510 and 46520. First we will calculate the prime factors of 46510 and 46520.

Prime Factorization of 46510

Prime factors of 46510 are 2, 5, 4651. Prime factorization of 46510 in exponential form is:

46510 = 21 × 51 × 46511

Prime Factorization of 46520

Prime factors of 46520 are 2, 5, 1163. Prime factorization of 46520 in exponential form is:

46520 = 23 × 51 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 46510 and 46520.

LCM(46510,46520) = 23 × 51 × 46511 × 11631
LCM(46510,46520) = 216364520