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What is the Least Common Multiple of 55194 and 55208?

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 55194 and 55208 is 1523575176.

LCM(55194,55208) = 1523575176

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Least Common Multiple of 55194 and 55208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55194 and 55208, than apply into the LCM equation.

GCF(55194,55208) = 2
LCM(55194,55208) = ( 55194 × 55208) / 2
LCM(55194,55208) = 3047150352 / 2
LCM(55194,55208) = 1523575176

Least Common Multiple (LCM) of 55194 and 55208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55194 and 55208. First we will calculate the prime factors of 55194 and 55208.

Prime Factorization of 55194

Prime factors of 55194 are 2, 3, 9199. Prime factorization of 55194 in exponential form is:

55194 = 21 × 31 × 91991

Prime Factorization of 55208

Prime factors of 55208 are 2, 67, 103. Prime factorization of 55208 in exponential form is:

55208 = 23 × 671 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 55194 and 55208.

LCM(55194,55208) = 23 × 31 × 91991 × 671 × 1031
LCM(55194,55208) = 1523575176