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What is the Least Common Multiple of 29948 and 29964?

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 29948 and 29964 is 224340468.

LCM(29948,29964) = 224340468

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Least Common Multiple of 29948 and 29964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29948 and 29964, than apply into the LCM equation.

GCF(29948,29964) = 4
LCM(29948,29964) = ( 29948 × 29964) / 4
LCM(29948,29964) = 897361872 / 4
LCM(29948,29964) = 224340468

Least Common Multiple (LCM) of 29948 and 29964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29948 and 29964. First we will calculate the prime factors of 29948 and 29964.

Prime Factorization of 29948

Prime factors of 29948 are 2, 7487. Prime factorization of 29948 in exponential form is:

29948 = 22 × 74871

Prime Factorization of 29964

Prime factors of 29964 are 2, 3, 11, 227. Prime factorization of 29964 in exponential form is:

29964 = 22 × 31 × 111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 29948 and 29964.

LCM(29948,29964) = 22 × 74871 × 31 × 111 × 2271
LCM(29948,29964) = 224340468