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What is the Least Common Multiple of 46570 and 46585?

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 46570 and 46585 is 433892690.

LCM(46570,46585) = 433892690

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Least Common Multiple of 46570 and 46585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46570 and 46585, than apply into the LCM equation.

GCF(46570,46585) = 5
LCM(46570,46585) = ( 46570 × 46585) / 5
LCM(46570,46585) = 2169463450 / 5
LCM(46570,46585) = 433892690

Least Common Multiple (LCM) of 46570 and 46585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46570 and 46585. First we will calculate the prime factors of 46570 and 46585.

Prime Factorization of 46570

Prime factors of 46570 are 2, 5, 4657. Prime factorization of 46570 in exponential form is:

46570 = 21 × 51 × 46571

Prime Factorization of 46585

Prime factors of 46585 are 5, 7, 11. Prime factorization of 46585 in exponential form is:

46585 = 51 × 71 × 113

Now multiplying the highest exponent prime factors to calculate the LCM of 46570 and 46585.

LCM(46570,46585) = 21 × 51 × 46571 × 71 × 113
LCM(46570,46585) = 433892690