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What is the Least Common Multiple of 30659 and 30668?

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 30659 and 30668 is 940250212.

LCM(30659,30668) = 940250212

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Least Common Multiple of 30659 and 30668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30659 and 30668, than apply into the LCM equation.

GCF(30659,30668) = 1
LCM(30659,30668) = ( 30659 × 30668) / 1
LCM(30659,30668) = 940250212 / 1
LCM(30659,30668) = 940250212

Least Common Multiple (LCM) of 30659 and 30668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30659 and 30668. First we will calculate the prime factors of 30659 and 30668.

Prime Factorization of 30659

Prime factors of 30659 are 23, 31, 43. Prime factorization of 30659 in exponential form is:

30659 = 231 × 311 × 431

Prime Factorization of 30668

Prime factors of 30668 are 2, 11, 17, 41. Prime factorization of 30668 in exponential form is:

30668 = 22 × 111 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 30659 and 30668.

LCM(30659,30668) = 231 × 311 × 431 × 22 × 111 × 171 × 411
LCM(30659,30668) = 940250212