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What is the Least Common Multiple of 55190 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 55190 and 55202 is 1523299190.

LCM(55190,55202) = 1523299190

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Least Common Multiple of 55190 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 55190 and 55202, than apply into the LCM equation.

GCF(55190,55202) = 2
LCM(55190,55202) = ( 55190 × 55202) / 2
LCM(55190,55202) = 3046598380 / 2
LCM(55190,55202) = 1523299190

Least Common Multiple (LCM) of 55190 and 55202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55190 and 55202. First we will calculate the prime factors of 55190 and 55202.

Prime Factorization of 55190

Prime factors of 55190 are 2, 5, 5519. Prime factorization of 55190 in exponential form is:

55190 = 21 × 51 × 55191

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 55190 and 55202.

LCM(55190,55202) = 21 × 51 × 55191 × 71 × 39431
LCM(55190,55202) = 1523299190