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What is the Least Common Multiple of 54860 and 54873?

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 54860 and 54873 is 231564060.

LCM(54860,54873) = 231564060

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Least Common Multiple of 54860 and 54873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54860 and 54873, than apply into the LCM equation.

GCF(54860,54873) = 13
LCM(54860,54873) = ( 54860 × 54873) / 13
LCM(54860,54873) = 3010332780 / 13
LCM(54860,54873) = 231564060

Least Common Multiple (LCM) of 54860 and 54873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54860 and 54873. First we will calculate the prime factors of 54860 and 54873.

Prime Factorization of 54860

Prime factors of 54860 are 2, 5, 13, 211. Prime factorization of 54860 in exponential form is:

54860 = 22 × 51 × 131 × 2111

Prime Factorization of 54873

Prime factors of 54873 are 3, 7, 13, 67. Prime factorization of 54873 in exponential form is:

54873 = 32 × 71 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 54860 and 54873.

LCM(54860,54873) = 22 × 51 × 131 × 2111 × 32 × 71 × 671
LCM(54860,54873) = 231564060