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What is the Least Common Multiple of 55432 and 55449?

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 55432 and 55449 is 3073648968.

LCM(55432,55449) = 3073648968

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Least Common Multiple of 55432 and 55449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55432 and 55449, than apply into the LCM equation.

GCF(55432,55449) = 1
LCM(55432,55449) = ( 55432 × 55449) / 1
LCM(55432,55449) = 3073648968 / 1
LCM(55432,55449) = 3073648968

Least Common Multiple (LCM) of 55432 and 55449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55432 and 55449. First we will calculate the prime factors of 55432 and 55449.

Prime Factorization of 55432

Prime factors of 55432 are 2, 13, 41. Prime factorization of 55432 in exponential form is:

55432 = 23 × 132 × 411

Prime Factorization of 55449

Prime factors of 55449 are 3, 61, 101. Prime factorization of 55449 in exponential form is:

55449 = 32 × 611 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 55432 and 55449.

LCM(55432,55449) = 23 × 132 × 411 × 32 × 611 × 1011
LCM(55432,55449) = 3073648968