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What is the Least Common Multiple of 55448 and 55452?

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 55448 and 55452 is 768675624.

LCM(55448,55452) = 768675624

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Least Common Multiple of 55448 and 55452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55448 and 55452, than apply into the LCM equation.

GCF(55448,55452) = 4
LCM(55448,55452) = ( 55448 × 55452) / 4
LCM(55448,55452) = 3074702496 / 4
LCM(55448,55452) = 768675624

Least Common Multiple (LCM) of 55448 and 55452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55448 and 55452. First we will calculate the prime factors of 55448 and 55452.

Prime Factorization of 55448

Prime factors of 55448 are 2, 29, 239. Prime factorization of 55448 in exponential form is:

55448 = 23 × 291 × 2391

Prime Factorization of 55452

Prime factors of 55452 are 2, 3, 4621. Prime factorization of 55452 in exponential form is:

55452 = 22 × 31 × 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 55448 and 55452.

LCM(55448,55452) = 23 × 291 × 2391 × 31 × 46211
LCM(55448,55452) = 768675624