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What is the Least Common Multiple of 46613 and 46633?

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 46613 and 46633 is 2173704029.

LCM(46613,46633) = 2173704029

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Least Common Multiple of 46613 and 46633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46613 and 46633, than apply into the LCM equation.

GCF(46613,46633) = 1
LCM(46613,46633) = ( 46613 × 46633) / 1
LCM(46613,46633) = 2173704029 / 1
LCM(46613,46633) = 2173704029

Least Common Multiple (LCM) of 46613 and 46633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46613 and 46633. First we will calculate the prime factors of 46613 and 46633.

Prime Factorization of 46613

Prime factors of 46613 are 7, 6659. Prime factorization of 46613 in exponential form is:

46613 = 71 × 66591

Prime Factorization of 46633

Prime factors of 46633 are 46633. Prime factorization of 46633 in exponential form is:

46633 = 466331

Now multiplying the highest exponent prime factors to calculate the LCM of 46613 and 46633.

LCM(46613,46633) = 71 × 66591 × 466331
LCM(46613,46633) = 2173704029