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What is the Least Common Multiple of 55060 and 55070?

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 55060 and 55070 is 303215420.

LCM(55060,55070) = 303215420

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Least Common Multiple of 55060 and 55070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55060 and 55070, than apply into the LCM equation.

GCF(55060,55070) = 10
LCM(55060,55070) = ( 55060 × 55070) / 10
LCM(55060,55070) = 3032154200 / 10
LCM(55060,55070) = 303215420

Least Common Multiple (LCM) of 55060 and 55070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55060 and 55070. First we will calculate the prime factors of 55060 and 55070.

Prime Factorization of 55060

Prime factors of 55060 are 2, 5, 2753. Prime factorization of 55060 in exponential form is:

55060 = 22 × 51 × 27531

Prime Factorization of 55070

Prime factors of 55070 are 2, 5, 5507. Prime factorization of 55070 in exponential form is:

55070 = 21 × 51 × 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 55060 and 55070.

LCM(55060,55070) = 22 × 51 × 27531 × 55071
LCM(55060,55070) = 303215420