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What is the Least Common Multiple of 30883 and 30888?

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 30883 and 30888 is 953914104.

LCM(30883,30888) = 953914104

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Least Common Multiple of 30883 and 30888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30883 and 30888, than apply into the LCM equation.

GCF(30883,30888) = 1
LCM(30883,30888) = ( 30883 × 30888) / 1
LCM(30883,30888) = 953914104 / 1
LCM(30883,30888) = 953914104

Least Common Multiple (LCM) of 30883 and 30888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30883 and 30888. First we will calculate the prime factors of 30883 and 30888.

Prime Factorization of 30883

Prime factors of 30883 are 89, 347. Prime factorization of 30883 in exponential form is:

30883 = 891 × 3471

Prime Factorization of 30888

Prime factors of 30888 are 2, 3, 11, 13. Prime factorization of 30888 in exponential form is:

30888 = 23 × 33 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 30883 and 30888.

LCM(30883,30888) = 891 × 3471 × 23 × 33 × 111 × 131
LCM(30883,30888) = 953914104