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What is the Least Common Multiple of 46662 and 46667?

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 46667 is 2177575554.

LCM(46662,46667) = 2177575554

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Least Common Multiple of 46662 and 46667 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 46667, than apply into the LCM equation.

GCF(46662,46667) = 1
LCM(46662,46667) = ( 46662 × 46667) / 1
LCM(46662,46667) = 2177575554 / 1
LCM(46662,46667) = 2177575554

Least Common Multiple (LCM) of 46662 and 46667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46662 and 46667. First we will calculate the prime factors of 46662 and 46667.

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 46667

Prime factors of 46667 are 23, 2029. Prime factorization of 46667 in exponential form is:

46667 = 231 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 46662 and 46667.

LCM(46662,46667) = 21 × 31 × 71 × 111 × 1011 × 231 × 20291
LCM(46662,46667) = 2177575554