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What is the Least Common Multiple of 30664 and 30683?

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 30664 and 30683 is 940863512.

LCM(30664,30683) = 940863512

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Least Common Multiple of 30664 and 30683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30664 and 30683, than apply into the LCM equation.

GCF(30664,30683) = 1
LCM(30664,30683) = ( 30664 × 30683) / 1
LCM(30664,30683) = 940863512 / 1
LCM(30664,30683) = 940863512

Least Common Multiple (LCM) of 30664 and 30683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30664 and 30683. First we will calculate the prime factors of 30664 and 30683.

Prime Factorization of 30664

Prime factors of 30664 are 2, 3833. Prime factorization of 30664 in exponential form is:

30664 = 23 × 38331

Prime Factorization of 30683

Prime factors of 30683 are 61, 503. Prime factorization of 30683 in exponential form is:

30683 = 611 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 30664 and 30683.

LCM(30664,30683) = 23 × 38331 × 611 × 5031
LCM(30664,30683) = 940863512