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What is the Least Common Multiple of 55202 and 55216?

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 55202 and 55216 is 217716688.

LCM(55202,55216) = 217716688

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Least Common Multiple of 55202 and 55216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55202 and 55216, than apply into the LCM equation.

GCF(55202,55216) = 14
LCM(55202,55216) = ( 55202 × 55216) / 14
LCM(55202,55216) = 3048033632 / 14
LCM(55202,55216) = 217716688

Least Common Multiple (LCM) of 55202 and 55216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55202 and 55216. First we will calculate the prime factors of 55202 and 55216.

Prime Factorization of 55202

Prime factors of 55202 are 2, 7, 3943. Prime factorization of 55202 in exponential form is:

55202 = 21 × 71 × 39431

Prime Factorization of 55216

Prime factors of 55216 are 2, 7, 17, 29. Prime factorization of 55216 in exponential form is:

55216 = 24 × 71 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 55202 and 55216.

LCM(55202,55216) = 24 × 71 × 39431 × 171 × 291
LCM(55202,55216) = 217716688