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What is the Least Common Multiple of 55182 and 55202?

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 55182 and 55202 is 1523078382.

LCM(55182,55202) = 1523078382

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Least Common Multiple of 55182 and 55202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55182 and 55202, than apply into the LCM equation.

GCF(55182,55202) = 2
LCM(55182,55202) = ( 55182 × 55202) / 2
LCM(55182,55202) = 3046156764 / 2
LCM(55182,55202) = 1523078382

Least Common Multiple (LCM) of 55182 and 55202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55182 and 55202. First we will calculate the prime factors of 55182 and 55202.

Prime Factorization of 55182

Prime factors of 55182 are 2, 3, 17, 541. Prime factorization of 55182 in exponential form is:

55182 = 21 × 31 × 171 × 5411

Prime Factorization of 55202

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

55202 = 21 × 71 × 39431

Now multiplying the highest exponent prime factors to calculate the LCM of 55182 and 55202.

LCM(55182,55202) = 21 × 31 × 171 × 5411 × 71 × 39431
LCM(55182,55202) = 1523078382