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What is the Least Common Multiple of 46662 and 46681?

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 46662 and 46681 is 2178228822.

LCM(46662,46681) = 2178228822

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Least Common Multiple of 46662 and 46681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46662 and 46681, than apply into the LCM equation.

GCF(46662,46681) = 1
LCM(46662,46681) = ( 46662 × 46681) / 1
LCM(46662,46681) = 2178228822 / 1
LCM(46662,46681) = 2178228822

Least Common Multiple (LCM) of 46662 and 46681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46662 and 46681. First we will calculate the prime factors of 46662 and 46681.

Prime Factorization of 46662

Prime factors of 46662 are 2, 3, 7, 11, 101. Prime factorization of 46662 in exponential form is:

46662 = 21 × 31 × 71 × 111 × 1011

Prime Factorization of 46681

Prime factors of 46681 are 46681. Prime factorization of 46681 in exponential form is:

46681 = 466811

Now multiplying the highest exponent prime factors to calculate the LCM of 46662 and 46681.

LCM(46662,46681) = 21 × 31 × 71 × 111 × 1011 × 466811
LCM(46662,46681) = 2178228822