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What is the Least Common Multiple of 34933 and 34947?

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 34933 and 34947 is 1220803551.

LCM(34933,34947) = 1220803551

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Least Common Multiple of 34933 and 34947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34933 and 34947, than apply into the LCM equation.

GCF(34933,34947) = 1
LCM(34933,34947) = ( 34933 × 34947) / 1
LCM(34933,34947) = 1220803551 / 1
LCM(34933,34947) = 1220803551

Least Common Multiple (LCM) of 34933 and 34947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34933 and 34947. First we will calculate the prime factors of 34933 and 34947.

Prime Factorization of 34933

Prime factors of 34933 are 181, 193. Prime factorization of 34933 in exponential form is:

34933 = 1811 × 1931

Prime Factorization of 34947

Prime factors of 34947 are 3, 11, 353. Prime factorization of 34947 in exponential form is:

34947 = 32 × 111 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 34933 and 34947.

LCM(34933,34947) = 1811 × 1931 × 32 × 111 × 3531
LCM(34933,34947) = 1220803551