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What is the Least Common Multiple of 54094 and 54114?

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 54094 and 54114 is 1463621358.

LCM(54094,54114) = 1463621358

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Least Common Multiple of 54094 and 54114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54094 and 54114, than apply into the LCM equation.

GCF(54094,54114) = 2
LCM(54094,54114) = ( 54094 × 54114) / 2
LCM(54094,54114) = 2927242716 / 2
LCM(54094,54114) = 1463621358

Least Common Multiple (LCM) of 54094 and 54114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54094 and 54114. First we will calculate the prime factors of 54094 and 54114.

Prime Factorization of 54094

Prime factors of 54094 are 2, 17, 37, 43. Prime factorization of 54094 in exponential form is:

54094 = 21 × 171 × 371 × 431

Prime Factorization of 54114

Prime factors of 54114 are 2, 3, 29, 311. Prime factorization of 54114 in exponential form is:

54114 = 21 × 31 × 291 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 54094 and 54114.

LCM(54094,54114) = 21 × 171 × 371 × 431 × 31 × 291 × 3111
LCM(54094,54114) = 1463621358