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What is the Least Common Multiple of 54686 and 54690?

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 54686 and 54690 is 1495388670.

LCM(54686,54690) = 1495388670

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Least Common Multiple of 54686 and 54690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54686 and 54690, than apply into the LCM equation.

GCF(54686,54690) = 2
LCM(54686,54690) = ( 54686 × 54690) / 2
LCM(54686,54690) = 2990777340 / 2
LCM(54686,54690) = 1495388670

Least Common Multiple (LCM) of 54686 and 54690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54686 and 54690. First we will calculate the prime factors of 54686 and 54690.

Prime Factorization of 54686

Prime factors of 54686 are 2, 37, 739. Prime factorization of 54686 in exponential form is:

54686 = 21 × 371 × 7391

Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 21 × 31 × 51 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 54686 and 54690.

LCM(54686,54690) = 21 × 371 × 7391 × 31 × 51 × 18231
LCM(54686,54690) = 1495388670