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What is the Least Common Multiple of 9948 and 9954?

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 9948 and 9954 is 16503732.

LCM(9948,9954) = 16503732

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Least Common Multiple of 9948 and 9954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9948 and 9954, than apply into the LCM equation.

GCF(9948,9954) = 6
LCM(9948,9954) = ( 9948 × 9954) / 6
LCM(9948,9954) = 99022392 / 6
LCM(9948,9954) = 16503732

Least Common Multiple (LCM) of 9948 and 9954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9948 and 9954. First we will calculate the prime factors of 9948 and 9954.

Prime Factorization of 9948

Prime factors of 9948 are 2, 3, 829. Prime factorization of 9948 in exponential form is:

9948 = 22 × 31 × 8291

Prime Factorization of 9954

Prime factors of 9954 are 2, 3, 7, 79. Prime factorization of 9954 in exponential form is:

9954 = 21 × 32 × 71 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 9948 and 9954.

LCM(9948,9954) = 22 × 32 × 8291 × 71 × 791
LCM(9948,9954) = 16503732