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What is the Least Common Multiple of 55480 and 55500?

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 55480 and 55500 is 153957000.

LCM(55480,55500) = 153957000

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Least Common Multiple of 55480 and 55500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55480 and 55500, than apply into the LCM equation.

GCF(55480,55500) = 20
LCM(55480,55500) = ( 55480 × 55500) / 20
LCM(55480,55500) = 3079140000 / 20
LCM(55480,55500) = 153957000

Least Common Multiple (LCM) of 55480 and 55500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55480 and 55500. First we will calculate the prime factors of 55480 and 55500.

Prime Factorization of 55480

Prime factors of 55480 are 2, 5, 19, 73. Prime factorization of 55480 in exponential form is:

55480 = 23 × 51 × 191 × 731

Prime Factorization of 55500

Prime factors of 55500 are 2, 3, 5, 37. Prime factorization of 55500 in exponential form is:

55500 = 22 × 31 × 53 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 55480 and 55500.

LCM(55480,55500) = 23 × 53 × 191 × 731 × 31 × 371
LCM(55480,55500) = 153957000