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What is the Least Common Multiple of 55077 and 55094?

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 55077 and 55094 is 3034412238.

LCM(55077,55094) = 3034412238

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Least Common Multiple of 55077 and 55094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55077 and 55094, than apply into the LCM equation.

GCF(55077,55094) = 1
LCM(55077,55094) = ( 55077 × 55094) / 1
LCM(55077,55094) = 3034412238 / 1
LCM(55077,55094) = 3034412238

Least Common Multiple (LCM) of 55077 and 55094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55077 and 55094. First we will calculate the prime factors of 55077 and 55094.

Prime Factorization of 55077

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

55077 = 31 × 111 × 16691

Prime Factorization of 55094

Prime factors of 55094 are 2, 13, 163. Prime factorization of 55094 in exponential form is:

55094 = 21 × 132 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 55077 and 55094.

LCM(55077,55094) = 31 × 111 × 16691 × 21 × 132 × 1631
LCM(55077,55094) = 3034412238