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What is the Least Common Multiple of 55061 and 55077?

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 55061 and 55077 is 3032594697.

LCM(55061,55077) = 3032594697

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Least Common Multiple of 55061 and 55077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55061 and 55077, than apply into the LCM equation.

GCF(55061,55077) = 1
LCM(55061,55077) = ( 55061 × 55077) / 1
LCM(55061,55077) = 3032594697 / 1
LCM(55061,55077) = 3032594697

Least Common Multiple (LCM) of 55061 and 55077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55061 and 55077. First we will calculate the prime factors of 55061 and 55077.

Prime Factorization of 55061

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

55061 = 550611

Prime Factorization of 55077

Prime factors of 55077 are 3, 11, 1669. Prime factorization of 55077 in exponential form is:

55077 = 31 × 111 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 55061 and 55077.

LCM(55061,55077) = 550611 × 31 × 111 × 16691
LCM(55061,55077) = 3032594697