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What is the Least Common Multiple of 55534 and 55548?

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 55534 and 55548 is 1542401316.

LCM(55534,55548) = 1542401316

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Least Common Multiple of 55534 and 55548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55534 and 55548, than apply into the LCM equation.

GCF(55534,55548) = 2
LCM(55534,55548) = ( 55534 × 55548) / 2
LCM(55534,55548) = 3084802632 / 2
LCM(55534,55548) = 1542401316

Least Common Multiple (LCM) of 55534 and 55548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55534 and 55548. First we will calculate the prime factors of 55534 and 55548.

Prime Factorization of 55534

Prime factors of 55534 are 2, 27767. Prime factorization of 55534 in exponential form is:

55534 = 21 × 277671

Prime Factorization of 55548

Prime factors of 55548 are 2, 3, 1543. Prime factorization of 55548 in exponential form is:

55548 = 22 × 32 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 55534 and 55548.

LCM(55534,55548) = 22 × 277671 × 32 × 15431
LCM(55534,55548) = 1542401316