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What is the Least Common Multiple of 30633 and 30646?

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 30633 and 30646 is 938778918.

LCM(30633,30646) = 938778918

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Least Common Multiple of 30633 and 30646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30633 and 30646, than apply into the LCM equation.

GCF(30633,30646) = 1
LCM(30633,30646) = ( 30633 × 30646) / 1
LCM(30633,30646) = 938778918 / 1
LCM(30633,30646) = 938778918

Least Common Multiple (LCM) of 30633 and 30646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30633 and 30646. First we will calculate the prime factors of 30633 and 30646.

Prime Factorization of 30633

Prime factors of 30633 are 3, 10211. Prime factorization of 30633 in exponential form is:

30633 = 31 × 102111

Prime Factorization of 30646

Prime factors of 30646 are 2, 7, 11, 199. Prime factorization of 30646 in exponential form is:

30646 = 21 × 71 × 111 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 30633 and 30646.

LCM(30633,30646) = 31 × 102111 × 21 × 71 × 111 × 1991
LCM(30633,30646) = 938778918