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What is the Least Common Multiple of 55051 and 55061?

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 55051 and 55061 is 3031163111.

LCM(55051,55061) = 3031163111

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Least Common Multiple of 55051 and 55061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55051 and 55061, than apply into the LCM equation.

GCF(55051,55061) = 1
LCM(55051,55061) = ( 55051 × 55061) / 1
LCM(55051,55061) = 3031163111 / 1
LCM(55051,55061) = 3031163111

Least Common Multiple (LCM) of 55051 and 55061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55051 and 55061. First we will calculate the prime factors of 55051 and 55061.

Prime Factorization of 55051

Prime factors of 55051 are 55051. Prime factorization of 55051 in exponential form is:

55051 = 550511

Prime Factorization of 55061

Prime factors of 55061 are 55061. Prime factorization of 55061 in exponential form is:

55061 = 550611

Now multiplying the highest exponent prime factors to calculate the LCM of 55051 and 55061.

LCM(55051,55061) = 550511 × 550611
LCM(55051,55061) = 3031163111