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What is the Least Common Multiple of 55045 and 55063?

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 55045 and 55063 is 3030942835.

LCM(55045,55063) = 3030942835

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Least Common Multiple of 55045 and 55063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55045 and 55063, than apply into the LCM equation.

GCF(55045,55063) = 1
LCM(55045,55063) = ( 55045 × 55063) / 1
LCM(55045,55063) = 3030942835 / 1
LCM(55045,55063) = 3030942835

Least Common Multiple (LCM) of 55045 and 55063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55045 and 55063. First we will calculate the prime factors of 55045 and 55063.

Prime Factorization of 55045

Prime factors of 55045 are 5, 101, 109. Prime factorization of 55045 in exponential form is:

55045 = 51 × 1011 × 1091

Prime Factorization of 55063

Prime factors of 55063 are 17, 41, 79. Prime factorization of 55063 in exponential form is:

55063 = 171 × 411 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 55045 and 55063.

LCM(55045,55063) = 51 × 1011 × 1091 × 171 × 411 × 791
LCM(55045,55063) = 3030942835