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What is the Least Common Multiple of 55472 and 55490?

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 55472 and 55490 is 1539070640.

LCM(55472,55490) = 1539070640

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Least Common Multiple of 55472 and 55490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55472 and 55490, than apply into the LCM equation.

GCF(55472,55490) = 2
LCM(55472,55490) = ( 55472 × 55490) / 2
LCM(55472,55490) = 3078141280 / 2
LCM(55472,55490) = 1539070640

Least Common Multiple (LCM) of 55472 and 55490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55472 and 55490. First we will calculate the prime factors of 55472 and 55490.

Prime Factorization of 55472

Prime factors of 55472 are 2, 3467. Prime factorization of 55472 in exponential form is:

55472 = 24 × 34671

Prime Factorization of 55490

Prime factors of 55490 are 2, 5, 31, 179. Prime factorization of 55490 in exponential form is:

55490 = 21 × 51 × 311 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 55472 and 55490.

LCM(55472,55490) = 24 × 34671 × 51 × 311 × 1791
LCM(55472,55490) = 1539070640