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What is the Least Common Multiple of 66448 and 66452?

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 66448 and 66452 is 1103900624.

LCM(66448,66452) = 1103900624

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Least Common Multiple of 66448 and 66452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66448 and 66452, than apply into the LCM equation.

GCF(66448,66452) = 4
LCM(66448,66452) = ( 66448 × 66452) / 4
LCM(66448,66452) = 4415602496 / 4
LCM(66448,66452) = 1103900624

Least Common Multiple (LCM) of 66448 and 66452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66448 and 66452. First we will calculate the prime factors of 66448 and 66452.

Prime Factorization of 66448

Prime factors of 66448 are 2, 4153. Prime factorization of 66448 in exponential form is:

66448 = 24 × 41531

Prime Factorization of 66452

Prime factors of 66452 are 2, 37, 449. Prime factorization of 66452 in exponential form is:

66452 = 22 × 371 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 66448 and 66452.

LCM(66448,66452) = 24 × 41531 × 371 × 4491
LCM(66448,66452) = 1103900624