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What is the Least Common Multiple of 46594 and 46612?

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 46594 and 46612 is 1085919764.

LCM(46594,46612) = 1085919764

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Least Common Multiple of 46594 and 46612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46594 and 46612, than apply into the LCM equation.

GCF(46594,46612) = 2
LCM(46594,46612) = ( 46594 × 46612) / 2
LCM(46594,46612) = 2171839528 / 2
LCM(46594,46612) = 1085919764

Least Common Multiple (LCM) of 46594 and 46612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46594 and 46612. First we will calculate the prime factors of 46594 and 46612.

Prime Factorization of 46594

Prime factors of 46594 are 2, 23297. Prime factorization of 46594 in exponential form is:

46594 = 21 × 232971

Prime Factorization of 46612

Prime factors of 46612 are 2, 43, 271. Prime factorization of 46612 in exponential form is:

46612 = 22 × 431 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 46594 and 46612.

LCM(46594,46612) = 22 × 232971 × 431 × 2711
LCM(46594,46612) = 1085919764