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What is the Least Common Multiple of 55545 and 55550?

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 55545 and 55550 is 617104950.

LCM(55545,55550) = 617104950

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Least Common Multiple of 55545 and 55550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55545 and 55550, than apply into the LCM equation.

GCF(55545,55550) = 5
LCM(55545,55550) = ( 55545 × 55550) / 5
LCM(55545,55550) = 3085524750 / 5
LCM(55545,55550) = 617104950

Least Common Multiple (LCM) of 55545 and 55550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55545 and 55550. First we will calculate the prime factors of 55545 and 55550.

Prime Factorization of 55545

Prime factors of 55545 are 3, 5, 7, 23. Prime factorization of 55545 in exponential form is:

55545 = 31 × 51 × 71 × 232

Prime Factorization of 55550

Prime factors of 55550 are 2, 5, 11, 101. Prime factorization of 55550 in exponential form is:

55550 = 21 × 52 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 55545 and 55550.

LCM(55545,55550) = 31 × 52 × 71 × 232 × 21 × 111 × 1011
LCM(55545,55550) = 617104950